0

Constructions related to a circle - class-VIII

Attempted 0/46 Correct 0 Score 0

The number of independent measurement required to construct a triangle is -

  1. $3$

  2. $4$

  3. $6$

  4. $2$


Correct Option: A
Explanation:

Ans- Three measurements are necessarily required to construct a triangle.

 Whether it can be measurements of all three sides,or all three angles or both

The triangle formed by AB = 3 cm BC = 5 cm AC = 9 cm is__

  1. An equilateral triangle

  2. An isosceles triangle

  3. A scalene triangle

  4. None of these


Correct Option: C
Explanation:
Given,  
In $\Delta ABC$  
AB=3cm, BC=5cm and AC=9cm.
Since all sides of triangle ABC are different. So $\Delta$ ABC is a Scalene triangle.

When constructing an inscribed regular hexagon, how will you choose the arc measurement?

  1. radius of the circle

  2. diameter of the circle

  3. chord of the circle

  4. circumference of the circle


Correct Option: A
Explanation:

When constructing an inscribed regular hexagon in a circle, we choose radius of the circle as a arc measurement.

The measure of maximum possible exterior angle in a regular polygon is 

  1. $70^o$

  2. $60^o$

  3. $90^o$

  4. $120^o$


Correct Option: D
Explanation:
Exterior angle of regular polygon = 180-interior angle
exterior angle is maximum when interior angle is minimum.
And we have minimum interior angle for regular triangle that is 60 degree..
So maximum exterior angle will be 180-60=120
So correct answer is Option D

To construct a quadrilateral minimum of its _________ elements are required.

  1. $3$

  2. $4$

  3. $5$

  4. $2$


Correct Option: C
Explanation:

To construct a unique quadrilateral, we will be need a minimum of $5$ dimensions.

If we have five dimensions, we can draw a side first then mark angle on both ends then we can construct a quadrilateral uniquely.
Or if we have three sides and two included angles then also we can construct a unique quadrilateral.
Unless we are constructing any one of the special quadrilaterals.

How many equal parts you will cut the circle to draw inscribing hexagon?

  1. $4$

  2. $5$

  3. $6$

  4. $7$


Correct Option: C
Explanation:

Hexagon is a $6$-sided polygon.
So we will cut the circle into $6$ equal parts.

Which tool will you use for cutting a circle into 6 equal parts?

  1. compass

  2. ruler

  3. protector

  4. divider


Correct Option: A
Explanation:

We will use compass tool for cutting a circle into $6$ equal parts.

While constructing a circle circumscribing and inscribing a regular hexagon, identify the statement true for the construction?

  1. circle outside and inside hexagon

  2. only hexagon is constructed

  3. only circle is drawn

  4. outside hexagon and inside circle


Correct Option: A
Explanation:

While constructing a circle circumscribing and inscribing a regular hexagon, the statement true for the construction is circle outside and inside hexagon.

State true or false:
A quadrilateral is uniquely determined if any four of its elements are known.

  1. True

  2. False


Correct Option: B
Explanation:

Above statement is false.

To construct a unique quadrilateral, we will be need a minimum of 5 dimensions.
If we have five dimensions, we can draw a side first then mark angle on both ends then we can construct a quadrilateral uniquely.

Or if we have three sides and two included angles then also we can construct a unique quadrilateral.
Unless we are constructing any one of the special quadrilaterals.

If the side of a regular hexagon is $6$ cm, then its area will be

  1. $108$ sq. cm

  2. $\dfrac {108}{3}$ sq. cm

  3. $108\sqrt {3}$ sq. cm

  4. $54\sqrt3$ sq. cm


Correct Option: D
Explanation:

$\Rightarrow$  Length of side of regular hexagon $(a)=6\,cm$

$\Rightarrow$  Area of regular  hexagon $=\dfrac{3\sqrt{3}}{2}a^2$

                                                 $=\dfrac{3\sqrt{3}}{2}\times (6)^2$

                                                 $=\dfrac{3\sqrt{3}}{2}\times 36$ 
                                 
                                                 $=54\sqrt{3}\,cm^2$

The centre of the circle circumscribing the square whose three sides are $3x+y=22,x-3y=14$ and $3x=y=62$ is:

  1. $\left( \dfrac { 3 }{ 2 } ,\dfrac { 27 }{ 2 } \right) $

  2. $\left( \dfrac { 27 }{ 2 } ,\dfrac { 3 }{ 2 } \right) $

  3. $(27,3)$

  4. $\left( 1,\dfrac { 2 }{ 3 } \right) $


Correct Option: B

A square is inscribed in the circle $x^2 + y^2 -2x +4y - 93 = 0$ with its sides parallel to the coordinates axes. The coordinates of its vertices are 

  1. $( - 6, - 9), \, ( - 6, 5), \, (8, - 9)$ and $(8, 5)$

  2. $( - 6, 9), \, ( - 6, - 5), \, (8, - 9)$ and $(8, 5)$

  3. $( - 6, - 9), \, ( - 6, 5), \, (8, 9)$ and $(8, 5)$

  4. $( - 6, - 9), \, ( - 6, 5), \, (8, - 9)$ and $(8, - 5)$


Correct Option: A

For each of the following, drawn a circle and inscribe the figure given.If a polygon of the given type can't be inscribed,write not possible.

  1. Rectangle.

  2. Trapezium.

  3. Obtuse triangle.

  4. non-rectangle parallelogram

  5. Accute isosceles triangle.

  6. A quadrilateral PQRS with $\overline {PR} $ as diameter.


Correct Option: A

In regular hexagon, if the radius of circle through vertices is r, then length of the side will be

  1. $\displaystyle \frac{2\pi r}{6}$

  2. r

  3. $\displaystyle \frac{\pi r}{6}$

  4. $\displaystyle \frac{r}{2}$


Correct Option: B
Explanation:

$\Rightarrow$   Radius of a circle is $r$.

$\Rightarrow$   In regular hexagon all sides are equal.
$\Rightarrow$   The regular hexagon has 6 equilateral triangles. The diameter of the circle is $2r$ in this case, will coincide with 2 equilateral triangles. So the side of the hexagon will be $r$.
$\therefore$   Length of side of hexagon is $r$.

When constructing the circles circumscribing and inscribing a regular hexagon with radius $3$ m, then inscribing hexagon length of each side is

  1. $1m$

  2. $2m$

  3. $3m$

  4. $4m$


Correct Option: C
Explanation:

When constructing the circles circumscribing and inscribing a regular hexagon with radius $3$ m, then inscribing hexagon length of each side is $3$ m.

The area of a circle inscribed in a regular hexagon is $100\pi$. The area of the hexagon is:

  1. $600$

  2. $300$

  3. $200\sqrt { 2 } $

  4. $200\sqrt { 3 } $

  5. $200\sqrt { 5 } $


Correct Option: D
Explanation:

Area of circle $=100\pi $
$\pi r^{2}=100\pi $
$r^{2}=100$
$r=10$
Now, a regular hexagon is made up of 6 equilateral $\bigtriangleup s $ of equal areas. Now, height of equilateral $\bigtriangleup  $ is equal to radius of circle.Therefore, ar. of 1 equilateral $\bigtriangleup=\dfrac {1}{2} $ x base x height
$\Rightarrow \dfrac {\sqrt{3}}{4}a^{2}=\dfrac {1}{2}a*10\Rightarrow a=\dfrac {4*10}{2\sqrt{3}}=\dfrac {20\sqrt{3}}{3} $
Area of hexagon $6
\left ( \dfrac {\sqrt{3}}{4}a^{2} \right )=6*\dfrac {\sqrt{3}}{4}\dfrac {20\sqrt{3}}{3}\dfrac {20\sqrt{3}}{3}=200\sqrt{3}$

With the help of a normal ruler and a compass only, which of the following line segment is possible to construct?

  1. $2.1\ cm$

  2. $4.2\ cm$

  3. $5.43\ cm$

  4. $3.3\ cm$


Correct Option: A,B,D
Explanation:

Least count of normal scale is $.1\ \ cm$ that is minimum length that can be measured using a normal scale is $.1\ \ cm$.

So the lengths that can be measured are
$2.1\ \ cm,4.2\ \ cm$ and $3.3\ \ cm$
To measure $5.43$ we need a scale whose least count is $.001$

Which of the following line segments can be drawn with the help of a ruler and compass ?

  1. $1.234\ cm$

  2. $2.15\ cm$

  3. $2.5\ cm$

  4. $3.04\ cm$


Correct Option: C
Explanation:

Least count of normal scale is $.1\ \ cm$ that is minimum length that can be measured using a normal scale is $.1\ \ cm$

So only $2.5 \ \ cm$ can be measured using a ruler and compass.
Hence option $C$ is correct.

With the help of a normal ruler, which of the following line segment is possible to construct?

  1. $3.1\ cm$

  2. $4.234\ cm$

  3. $7.2\ cm$

  4. $1\ cm $


Correct Option: A,C,D
Explanation:

Least count of normal scale is $.1\ \ cm$ that is minimum length that can be measured using a normal scale is $.1\ \ cm$

So the lengths that can be measures are
$3.1\ \ cm$$,7.2\ \ cm$ and $1cm\ \ $
Options $A,C$ and $D$ are correct.

The steps for constructing a line segment of given length are given in a jumbled order below:
1. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc point as $B$.
2. Draw a line.
3. Extend the compass by keeping one end on the $0\ cm$ mark and other at the given length on the ruler.
4. Take a point $A$ anywhere on the line.

Which of the above steps comes last?

  1. $1$

  2. $2$

  3. $3$

  4. $4$


Correct Option: A
Explanation:

For constructing a line segment of given length steps are following:

Step 1 : Draw a line(2).
Step 2 :Take a point $A$ anywhere on the line(4).
Step 3 : Extend the compass by keeping one end on the $0 \ \ cm$ mark and other at given length on ruler(3).
Step 4 :  Draw an arc on the line by keeping the pointed end of the compass on the point $A$ .Mark the arc point as $B.$(1)
So $1.$ is the last step.
Option $A$ is correct.


To construct a line segment of a given length, which of the following pairs of instruments are needed?

  1. Ruler and Protractor

  2. Ruler and Compass

  3. Compass and Divider

  4. Protractor and Divider


Correct Option: B
Explanation:

A line can be constructed using a Ruler and a Compass.

So option $B$ is correct.

Construct a line segment of length $8.4\ cm$. Divide this line into $3$ equal parts and find the length of each part.

  1. $2.4\ cm$

  2. $4.2\ cm$

  3. $1.8\ cm$

  4. $2.8\ cm$


Correct Option: D
Explanation:

Let length of each part $=x$

Lenght of three parts $=3x$
Given $3x=8.4$
$x=\dfrac{8.4}{3}=2.8$ cm

The steps for constructing a line segment of given length are given in a jumbled order below:
1. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc point as $B$.
2. Draw a line.
3. Extend the compass by keeping one end on the $0\ cm$ mark and other at the given length on the ruler.
4. Take a point $A$ anywhere on the line.

Which of the above steps comes first?

  1. $1$

  2. $2$

  3. $3$

  4. $4$


Correct Option: B
Explanation:

Correct sequence is :

Step 1. Draw a line.
Step 2. Take a point $A$ anywhere on the line.
Step 3. Extend the compass by keeping one end on the $0 \ \ cm$ and other at the given length on the ruler.
Step 4. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc as point $B.$
So the first step is $2$
Option $B$ is correct.

The steps for constructing a line segment of given length are given in a jumbled order below:
1. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc point as $B$.
2. Draw a line.
3. Extend the compass by keeping one end on the $0\ cm$ mark and other at the given length on the ruler.
4. Take a point $A$ anywhere on the line.

Which of the above steps comes second?

  1. $1$

  2. $2$

  3. $3$

  4. $4$


Correct Option: D
Explanation:

Correct sequence is :

Step 1. Draw a line.
Step 2. Take a point $A$ anywhere on the line.
Step 3. Extend the compass by keeping one end on the $0 \ \ cm$ and other at the given length on the ruler.
Step 4. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc as point $B.$
So the second step is $4$
Option $D$ is correct.

The steps for constructing a line segment of given length are given in a jumbled order below:
1. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc point as $B$.
2. Draw a line.
3. Extend the compass by keeping one end on the $0\ cm$ mark and other at the given length on the ruler.
4. Take a point $A$ anywhere on the line.

Which of the above steps comes third?

  1. $1$

  2. $2$

  3. $3$

  4. $4$


Correct Option: C
Explanation:

Step 1 $:$ Draw a line .

Step 2 $:$ Take point $A$ anywhere on the line .
Step 3 $:$ Extend the compass by keeping one end on the $0\ \ cm$ mark at the given length of the rule.
Step 4 $:$ Draw an arc on the line by keeping the pointed end of the compass on the point $A$ .Mark the arc point as $B$
So $3$ is the third step .Option $C$ is correct.

State whether true/false
We can construct a copy of a line segment of length $2.345$ using scale/compass.

  1. True

  2. False


Correct Option: A
Explanation:

Yes, we can construct a copy of line segment of length $2.345$ using scale/compass. By using scale/compass we measure the length and by stretching the compass & cut the same length of line.

Steps of constructing a line segment equal to the length of given segment is written in jumbled form below:
1. Draw a line $l$. Mark a point $A$ on line $l$. Without changing compass's setting, place the compass at $A$.
2. Make an arc on the line $l$ which cuts $l$ at $B$. Now, $AB$ is a copy of $CD$.
3. Draw a line segment $CD$ of any length.
4. Fix the compass's end on $C$ and pencil on $D$. This gives the length of $CD$.

Which of the above comes last.

  1. $1$

  2. $2$

  3. $3$

  4. $4$


Correct Option: B
Explanation:

Correct sequence is :

Step 1. Draw a line segment $CD$ of any length.
Step 2 .Fix the compass's end on $C$ and a pencil on $D$. This gives length $CD.$
Step 3. Draw a line $l$. Mark a point $A$ on line $l$.Without changing compass's setting place the compass at $A$
Step 4. Make an arc on the line $l$ whcih cuts $l$ at $B$  Now $AB$ is a copy of $CD$
So the last step is $2$
Option $B$ is correct.

Which of the following line segments cannot be drawn with the help of a ruler and compass ?

  1. $3.153\ cm$

  2. $4.3\ cm$

  3. $5.2\ cm$

  4. $6.1\ cm$


Correct Option: A
Explanation:

Line segment of length $3.153\ \ cm$ can not be drawn using a compass as the least count of the compass is $1\ \ mm$ or $.1\ \ cm$

So option $A$ is corrrect.

Construct a line segment of length $12.4\ cm$. Divide this line into $4$ equal parts and find the length of each part.

  1. $3.1\ cm$

  2. $4.1\ cm$

  3. $3.0\ cm$

  4. $4.0\ cm$


Correct Option: A
Explanation:

$1.$ Draw a line segment of length $12.4\ \ cm$ using a ruler.

Now we have to divide the length into four parts . So we have to divide the length by $4$
Lenght of each part $\dfrac{12.4}{4}=3.1\ \ cm$
$2.$ Now open the compass to $3.1\ \ cm$ and cut an arc on the line by placing the needle on one end on the line and mark the point as $B$.
$3.$ Repeat the step $2.$ by placing the compass on point $B$
Length of each part $=3.1\ \ cm$
So option $C$ is correct.

Steps of constructing a line segment equal to the length of given segment is written in jumbled form below:
1. Draw a line $l$. Mark a point $A$ on line $l$. Without changing compass's setting, place the compass at $A$.
2. Make an arc on the line $l$ which cuts $l$ at $B$. Now, $AB$ is a copy of $CD$.
3. Draw a line segment $CD$ of any length.
4. Fix the compass's end on $C$ and pencil on $D$. This gives the length of $CD$.
Arrange them in correct order.

  1. $3,4,1,2$

  2. $1,2,3,4$

  3. $4,3,2,1$

  4. $3,1,2,4$


Correct Option: A
Explanation:

Correct sequence is :

Step 1. Draw a line segment $CD$ of any length.
Step 2 .Fix the compass's end on $C$ and a pencil on $D$. This gives length $CD.$
Step 3. Draw a line $l$. Mark a point $A$ on line $l$.Without changing compass's setting place the compass at $A$
Step 4. Make an arc on the line $l$ whcih cuts $l$ at $B$  Now $AB$ is a copy of $CD$
So the sequence is $3,4,1,2$

Construct a line segment of length $4.6\ cm$. Divide this line into $2$ equal parts and find the length of each part.

  1. $2.0\ cm$

  2. $2.1\ cm$

  3. $2.2\ cm$

  4. $2.3\ cm$


Correct Option: D
Explanation:
steps of construction :
1 . draw a line of length 4.6 cm using ruler .
2. Place the compass at one end of line segment.
3 . Adjust the compass to slightly longer than half the line segment length.
4. Draw arcs above and below the line.
 5 .Keeping the same compass width, draw arcs from other end of line.
6 . Place ruler where the arcs cross, and draw the line segment.
7. drawn line segment cuts the initial line segment  into two equal parts .
8. measure the bisected length using ruler thats comes out be $= \dfrac{1}{2} \times 4.6 = 2.3 cm$

Draw a line $AB=7.8\ cm$, what will be the $\dfrac{2}{3}$rd of $AB$.

  1. $11.7\ cm$

  2. $5.2\ cm$

  3. $3.9\ cm$

  4. $2.6\ cm$


Correct Option: B
Explanation:

Draw a line segment $AB$ of $7.8\ \ cm$ using ruler 

.$\dfrac{2}{3}AB=$ $=\dfrac { 2 }{ 3 } \times 7.8=5.2 \ cm$
Option $B$ is correct.

Construct a line $AB=6.5\ cm$. What will be the $\dfrac{1}{5}$th of $AB$ ?

  1. $4.2\ cm$

  2. $3.5\ cm$

  3. $2.4\ cm$

  4. $1.3\ cm$


Correct Option: D
Explanation:

Draw a line segment $AB$ of length $6.5\ \ cm$

$\dfrac { 1 }{ 5 } AB=\dfrac { 1 }{ 5 } \times 6.5=1.3\ \ cm$
So option $D$ is correct.

Draw a line $XY=13.6\ cm$. what will be the $\dfrac{1}{4}$th of $XY$ ?

  1. $6.8\ cm$

  2. $5.2\ cm$

  3. $3.4\ cm$

  4. $2.2\ cm$


Correct Option: C
Explanation:

Draw a line segment $XY$ of length $13.6\ \ cm$

$\dfrac { 1 }{ 4 } XY=\dfrac { 1 }{ 4 } \times 13.6=3.4\ \ cm$
Option $C$ is correct.

Draw a line $PQ=9.6\ cm$. What will be the $\dfrac{1}{3}$rd of $PQ$ ?

  1. $3.2\ cm$

  2. $4.6\ cm$

  3. $2.4\ cm$

  4. $2.5\ cm$


Correct Option: A
Explanation:

Draw a line segment $PQ$ is length $9.6\ \ cm$ using a ruler.

$\dfrac { 1 }{ 3 } PQ=\dfrac { 1 }{ 3 } \times 9.6=3.2\ \ cm$
So option $A$ is correct.

Use your compasses to draw a circle of radius as specified below. What is the diameter of each of these circles.

  1. $5\ cm$

  2. $4\ cm$

  3. $12\ cm$

  4. $7\ cm$


Correct Option: A

Steps of constructing a line segment equal to the length of given segment is written in jumbled form below:
1. Draw a line $l$. Mark a point $A$ on line $l$. Without changing compass's setting, place the compass at $A$.
2. Make an arc on the line $l$ which cuts $l$ at $B$. Now, $AB$ is a copy of $CD$.
3. Draw a line segment $CD$ of any length.
4. Fix the compass's end on $C$ and pencil on $D$. This gives the length of $CD$.

Which of the above comes first.

  1. $1$

  2. $2$

  3. $3$

  4. $4$


Correct Option: C
Explanation:

Correct sequence is :

Step 1. Draw a line segment $CD$ of any length.
Step 2 .Fix the compass's end on $C$ and a pencil on $D$. This gives length $CD.$
Step 3. Draw a line $l$. Mark a point $A$ on line $l$.Without changing compass's setting place the compass at $A$
Step 4. Make an arc on the line $l$ whcih cuts $l$ at $B$  Now $AB$ is a copy of $CD$
So the first step is $3$
Option $C$ is correct.

Choose the correct answer from the alternatives given.
Water is flowing at the rate of $5$ km/hr through a pipe of diameter $14$ cm into a rectangular tank which is $50$ m long, $44$ m wide. The time taken (in hours) for the rise in the level of water in the tank to be $7$ cm is

  1. $2$

  2. $1\dfrac{1}{2}$

  3. $3$

  4. $2\dfrac{1}{2}$


Correct Option: A
Explanation:

Water
flowed by the pipe in lh = $\pi r^2h$
= $\dfrac{22}{7} \times$ $\dfrac{7\times 7}{100\times100}$ $\times 5000 m^3 =77m^3$
Volume
of expected water in the tank = $\frac{50 \times 44 \times 7}{100} = 154
m^3$ 
Required
time= $154/77 = 2 hrs$.

What are the tools required for constructing a tangent to a circle?

  1. ruler

  2. compass

  3. pencil

  4. all the above


Correct Option: D
Explanation:

The tools required for constructing a tangent to a circle is ruler, compass and pencil.

Let C be the circle with centre at $(1, 1)$ and radius $=1$. If T is the circle centred at $(0, y)$, passing through origin and touching the circle C externally, then the radius of T is equal to?

  1. $\dfrac{\sqrt{3}}{\sqrt{2}}$

  2. $\dfrac{\sqrt{3}}{2}$

  3. $\dfrac{1}{2}$

  4. $\dfrac{1}{4}$


Correct Option: A

The sides of a triangle are $25,39$ and $40$. The diameter of the circumscribed circle is: 

  1. $\cfrac { 133 }{ 3 } $

  2. $\cfrac { 125 }{ 3 } $

  3. $42$

  4. $41$

  5. $40$


Correct Option: B
Explanation:

Circum radius formula

$R$ $=\cfrac { abc }{ \sqrt { (a+b+c)(b+c-a)(c+a-b)(a+b-c) }  }$ .
Where  $a, b, c$  are sides of triangle 
$\Rightarrow$ $R$ $=\cfrac { 25\times 39\times 40\quad  }{ \sqrt { (140\quad \times (54)\times (26)\quad \times (240) }  } $
$=\cfrac { 25\times 39\times 40\quad  }{ \sqrt { { 2 }^{ 3 } } \times 13\times 2\times { 3 }^{ 3 }\times 2\times 13\times { 2 }^{ 3 }\times 3 } $
$=\cfrac { 25\times 39\times 40\quad  }{ \sqrt { { 2 }^{ 8 } } \times { 3 }^{ 4 }\times { 13 }^{ 2 } } $.
$=\cfrac { 25 \times \ 39 \times 40  }{ { 2 }^{ 4 }\times { 3 }^{ 2 }\times { 13 } } =\quad \cfrac { 25 \times 39 \times40\quad  }{ 16\times 9\times { 13 } }$ 
$=\cfrac { 125 }{ 6 }$ 
$\therefore$   Diameter $=\cfrac { 125\times \ 2 }{ 6 } = \cfrac { 125 }{ 3 } $

$\therefore$ B) Answer.

The minimum number of dimensions needed to construct an equilateral triangle is:

  1. $1$

  2. $2$

  3. $3$

  4. $4$


Correct Option: A
Explanation:

As we know that all angles in an equilateral triangle measures $60^o$. Hence we need only the length of the side to construct an equilateral triangle.

The number of independent measurement required to construct a $\Delta$ le is 

  1. $3$

  2. $4$

  3. $2$

  4. $5$


Correct Option: A
Explanation:

Triangle has $3$ sides.
So, number of measurements required to construct a triangle is $3$.

The minimum number of dimensions needed to construct a rectangle is:

  1. $1$

  2. $2$

  3. $3$

  4. $4$


Correct Option: B
Explanation:

We can construct a rectangle when:

(i) two adjacent sides are given
(ii) one side and the diagonal is given
(iii) both diagonals are given
In the above cases the number of dimensions needed to construct a rectangle is $2$.

State True or False
There is a triangle whose sides have lengths 10.2 cm, 5.8 cm and 4.5 cm 

  1. True

  2. False


Correct Option: A
Explanation:

Suppose such a triangle is possible Then the sum of the lengths of any two side would be greater than the length of the third side  Let us check this
Is 4.5+5.8>10.2  Yes 
Is 5.8+10.2>4.5  Yes
Is 10.2+4.5>5.8  Yes
Therefore the triangle is possible

The number of independent measurements required to construct a $\Delta$ is

  1. 3

  2. 4

  3. 2

  4. 5


Correct Option: A
Explanation:

We have three measurements to construct a $\Delta$ le,

- Hide questions