# 11 in a ABC it is given that AB = 6 cm, AC = 8 cmand AD is the bisector of A Then, BD DC = ?a) 34(b) 9:16(c) 4:3(d) V3:2batanthe interne?

Answer: By angle bisector theorem : which states that ,the ratio of any 2 sides of triangle is equal to the ratio of the lengths of the segments formed on its third side ,by the angle bisector of the angle formed by those 2 sides.

So, here, AB/AC=BD/DC

$\\ \Rightarrow 6/5=3/DC\\ \\\Rightarrow DC=15/6=5/2=2.5 cm$

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