In any triangle ABC , a, b, c are sides of the triangle ABC… – Class 12 Mathematics 2081 Solved

Class 12 Mathematics · 2081 · Solved Question with Answer

In any triangle $ABC$ , $a, b, c$ are sides of the triangle $ABC$ and $s$ is semi-perimeter of the triangle. Which one of the following is equal to $ \cos \frac{A}{2} $?

A) $ \sqrt{\frac{s(s-a)}{bc}} $ $\sqrt{\frac{s(s-a)}{bc}}$ B) $ \sqrt{\frac{(s-b)(s-c)}{s(s-a)}} $ C) $ \sqrt{\frac{s(s-a)}{(s-b)(s-c)}} $ $\sqrt{\frac{s(s-a)}{(s-b)(s-c)}}$ D) $ \sqrt{\frac{(s-b)(s-c)}{bc}} $

Solution

In any triangle ABC , a, b, c are sides of the triangle ABC and s is semi-perimeter of the triangle. Which one of the following is equal to \( \cos…

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