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  • In triangle ABC, <img alt="\text { if } 2 s=a+b+c\text { and }(s-b)(s-c)=x \sin ^{2} \frac{A}{2}," src="http://entrancecorner.oncodecogs.com/gif.latex?%5Ctext%20%7B%20if%20%7D%202%20s%3Da

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

Option: 1

bc


Option: 2

ca


Option: 3

ab


Option: 4

abc


Answers (1)

best_answer

We know,

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

Compare with (s-b)(s-c)=x \sin ^{2} \frac{A}{2},

x = bc

Posted by

Ritika Kankaria

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