Brahmagupta's Mathematical Innovations
| Description: Brahmagupta, an Indian mathematician and astronomer, made significant contributions to the field of mathematics. This quiz explores some of his notable mathematical innovations. | |
| Number of Questions: 10 | |
| Created by: Aliensbrain Bot | |
| Tags: indian mathematics brahmagupta mathematics innovations |
Brahmagupta's formula for solving quadratic equations is given by: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. What is the discriminant of this quadratic equation?
Brahmagupta's theorem states that the area of a cyclic quadrilateral is given by: $K = \sqrt{(s-a)(s-b)(s-c)(s-d)}$, where $s$ is the semi-perimeter and $a$, $b$, $c$, and $d$ are the lengths of the sides of the quadrilateral. What is the value of $s$ in terms of the side lengths?
Brahmagupta's identity states that $a^2 + b^2 = c^2 + d^2$ if and only if $ab = cd$. This identity is also known as:
Brahmagupta developed a method for finding the square root of a number without using a calculator. This method is known as:
Brahmagupta's work on the Brahmasphutasiddhanta includes a chapter on:
Brahmagupta's formula for finding the area of a triangle is given by: $K = \frac{1}{2} \sqrt{s(s-a)(s-b)(s-c)}$, where $s$ is the semi-perimeter and $a$, $b$, and $c$ are the lengths of the sides of the triangle. This formula is also known as:
Brahmagupta's work on astronomy includes the development of a model for:
Brahmagupta's work on mathematics and astronomy had a significant impact on the development of:
Brahmagupta's Brahmasphutasiddhanta was translated into:
Brahmagupta's work on mathematics and astronomy is considered to be one of the most important contributions to the field of: