In a A B C, if 2 s=a+b+c and ( s - b )( s - c )=x ^2 A 2 , then x… - Vidyadip

MCQ

In $a \triangle A B C$, if $2 s=a+b+c$ and $( s - b )( s - c )=x \sin ^2 \frac{A}{2}$, then $x=$

✓
bc
B
ca
C
ab
D
abc

✓

Answer

Correct option: A.

bc

(A) $\sin \frac{A}{2}=\sqrt{\frac{(s-b)(s-c)}{b c}}$
$\Rightarrow b c \sin ^2 \frac{A}{2}=(s-b)(s-c)$
$\Rightarrow x= bc$

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