Question

Q.In a Triangle ABC if D is a point on BC ,such that BD/DC = AB/AC , prove that AD is the bisector of angle A ?

Answer 1

Hello,
if in a triangle ABC D is apoint on  BC , as BD/BC=AB/AC
then, the side BC and BD are equal
and also, AB = AC
So, it's an isosceles triangle 
as BC = CD
then,the  AD is the Median
and Therefore, AD IS BISECTOR OF ANGLE A

hope i helped u 
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