Question

if AD is angular bisector of triangle ABC then find the area of triangle ACD if sides AB BC CA are 4 and 6 and 8
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Answer 1

Answer:

By Angle bisector theorem: which states that, the ratio of any 2 sides of a triangle is eaqual 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 = BC/AD

=> 4/8 = 6/ AD

=> AD = 24/8= 3 cm