Question: In a ∆ABC, if 2s = a + b + c and (s– b) (s –c) = x sin<sup>2</sup>$\frac{A}{2}$, then x =...

Question

In a ∆ABC, if 2s = a + b + c and (s– b) (s –c) = x sin² $\frac{A}{2}$ , then x =

Answer 1

(s – b) (s – c) = x sin² $\frac{A}{2}$

⇒ (s – b) (s – c) = x $\frac{(s - b)(s - c)}{bc}$

⇒ x = bc

Question: In a ∆ABC, if 2s = a + b + c and (s– b) (s –c) = x sin<sup>2</sup>\(\frac{A}{2}\), then x =...