Question

In a ∆ABC, AD is the bisector of ∠BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. Find AC

Options

•  4 cm

•  6 cm

• 3 cm

• 8 cm

Answer 1

Given: In a ΔABC, AD is the bisector of angle BAC. AB = 8cm, and DC = 3cm and BD = 6cm.

To find: AC

We know that the internal bisector of angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle.

Hence,

`(AB)/(AC)=(BD)/(DC)`

`8/(AC)=6/3`

`8/(AC)=(8xx3)/6`

`AC= 4cm`
Hence we got the result `a`