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Brahmagupta: Mathematical and Astronomical Contributions

Question 1 of 6

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?

  1. $s = \frac{a + b + c + d}{2}$
  2. $s = \frac{a + b - c - d}{2}$
  3. $s = \frac{a - b + c - d}{2}$
  4. $s = \frac{a - b - c + d}{2}$

Prize Money

15₹7 Crores
14₹1 Crore
13₹50,00,000
12₹25,00,000
11₹12,50,000
10₹6,40,000
9₹3,20,000
8₹1,60,000
7₹80,000
6₹40,000
5₹20,000
4₹10,000
3₹5,000
2₹2,000
1₹1,000