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The value of \ tan \frac{B}{2} \tan \frac{C}{2} if b+c = 2a, is

Option: 1

\frac{1}{2}


Option: 2

\frac{1}{3}


Option: 3

1


Option: 4

0


Answers (1)

best_answer

\\\ tan \frac{B}{2} \tan \frac{C}{2}\\\\=\sqrt{\frac{(s-a)(s-c)}{s(s-b)}}\sqrt{\frac{(s-a)(s-b)}{s(s-c)}}\\ \\=\frac{s-a}{s}\\\\ =\frac{b+c-a}{a+b+c}\\ =\frac{1}{3}

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Gaurav

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