Let \( A B C \) be a triangle with \( \angle B A C=\frac{2 \pi}{3}, A B=x \) such that \( (A B)(... VIDEO
Let \( A B C \) be a triangle with \( \angle B A C=\frac{2 \pi}{3}, A B=x \) such that \( (A B)(A C)=1 \). If \( x \) varies then the longêst possible length of the angle bisector \( A D \) equals
(a) \( 1 / 3 \)
(b) \( 1 / 2 \)
(c) \( 2 / 3 \)
(d) \( 3 / 2 \)
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