Brahmagupta's Theorems and Discoveries

Description: Brahmagupta's Theorems and Discoveries Quiz
Number of Questions: 15
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Tags: ancient indian mathematics brahmagupta theorems discoveries
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What is the name of the theorem that states that the sum of the squares of two sides of a triangle is equal to the square of the third side?

  1. Pythagorean Theorem

  2. Brahmagupta's Theorem

  3. Euclid's Theorem

  4. Euler's Theorem


Correct Option: B
Explanation:

Brahmagupta's Theorem is a generalization of the Pythagorean Theorem to quadrilaterals.

What is the name of the theorem that states that the area of a cyclic quadrilateral is equal to the square root of the product of the sums of the opposite sides?

  1. Brahmagupta's Theorem

  2. Pythagorean Theorem

  3. Euclid's Theorem

  4. Euler's Theorem


Correct Option: A
Explanation:

Brahmagupta's Theorem is a powerful tool for finding the area of cyclic quadrilaterals.

What is the name of the theorem that states that the sum of the squares of the diagonals of a quadrilateral is equal to the sum of the squares of its sides?

  1. Pythagorean Theorem

  2. Brahmagupta's Theorem

  3. Euclid's Theorem

  4. Euler's Theorem


Correct Option: B
Explanation:

Brahmagupta's Theorem is a useful result for finding the lengths of the diagonals of a quadrilateral.

What is the name of the theorem that states that the area of a triangle is equal to half the product of its base and height?

  1. Pythagorean Theorem

  2. Brahmagupta's Theorem

  3. Euclid's Theorem

  4. Heron's Formula


Correct Option: D
Explanation:

Heron's Formula is a well-known formula for finding the area of a triangle.

What is the name of the theorem that states that the sum of the interior angles of a triangle is equal to 180 degrees?

  1. Pythagorean Theorem

  2. Brahmagupta's Theorem

  3. Euclid's Theorem

  4. Angle Sum Theorem


Correct Option: D
Explanation:

The Angle Sum Theorem is a fundamental property of triangles.

What is the name of the theorem that states that the sum of the exterior angles of a polygon is equal to 360 degrees?

  1. Pythagorean Theorem

  2. Brahmagupta's Theorem

  3. Euclid's Theorem

  4. Exterior Angle Theorem


Correct Option: D
Explanation:

The Exterior Angle Theorem is a useful result for finding the sum of the exterior angles of a polygon.

What is the name of the theorem that states that the area of a circle is equal to pi times the square of its radius?

  1. Pythagorean Theorem

  2. Brahmagupta's Theorem

  3. Euclid's Theorem

  4. Area of a Circle Formula


Correct Option: D
Explanation:

The Area of a Circle Formula is a well-known formula for finding the area of a circle.

What is the name of the theorem that states that the circumference of a circle is equal to 2 pi times its radius?

  1. Pythagorean Theorem

  2. Brahmagupta's Theorem

  3. Euclid's Theorem

  4. Circumference of a Circle Formula


Correct Option: D
Explanation:

The Circumference of a Circle Formula is a well-known formula for finding the circumference of a circle.

What is the name of the theorem that states that the volume of a sphere is equal to 4/3 pi times the cube of its radius?

  1. Pythagorean Theorem

  2. Brahmagupta's Theorem

  3. Euclid's Theorem

  4. Volume of a Sphere Formula


Correct Option: D
Explanation:

The Volume of a Sphere Formula is a well-known formula for finding the volume of a sphere.

What is the name of the theorem that states that the surface area of a sphere is equal to 4 pi times the square of its radius?

  1. Pythagorean Theorem

  2. Brahmagupta's Theorem

  3. Euclid's Theorem

  4. Surface Area of a Sphere Formula


Correct Option: D
Explanation:

The Surface Area of a Sphere Formula is a well-known formula for finding the surface area of a sphere.

What is the name of the theorem that states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse?

  1. Pythagorean Theorem

  2. Brahmagupta's Theorem

  3. Euclid's Theorem

  4. Angle Sum Theorem


Correct Option: A
Explanation:

The Pythagorean Theorem is a fundamental theorem of geometry.

What is the name of the theorem that states that the area of a triangle is equal to half the product of its base and height?

  1. Pythagorean Theorem

  2. Brahmagupta's Theorem

  3. Euclid's Theorem

  4. Heron's Formula


Correct Option: D
Explanation:

Heron's Formula is a well-known formula for finding the area of a triangle.

What is the name of the theorem that states that the sum of the interior angles of a triangle is equal to 180 degrees?

  1. Pythagorean Theorem

  2. Brahmagupta's Theorem

  3. Euclid's Theorem

  4. Angle Sum Theorem


Correct Option: D
Explanation:

The Angle Sum Theorem is a fundamental property of triangles.

What is the name of the theorem that states that the sum of the exterior angles of a polygon is equal to 360 degrees?

  1. Pythagorean Theorem

  2. Brahmagupta's Theorem

  3. Euclid's Theorem

  4. Exterior Angle Theorem


Correct Option: D
Explanation:

The Exterior Angle Theorem is a useful result for finding the sum of the exterior angles of a polygon.

What is the name of the theorem that states that the area of a circle is equal to pi times the square of its radius?

  1. Pythagorean Theorem

  2. Brahmagupta's Theorem

  3. Euclid's Theorem

  4. Area of a Circle Formula


Correct Option: D
Explanation:

The Area of a Circle Formula is a well-known formula for finding the area of a circle.

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