Question

In a ∆ABC, AD is the bisector of ∠BAC. If AB = 6 cm, AC = 5 cm and BD = 3 cm, then DC =

विकल्प

• 11.3 cm

• 2.5 cm

•  3 : 5 cm

• None of these

Answer 1

Given: In a ΔABC, AD is the bisector of `∠BAC`. AB = 6cm and AC = 5cm and BD = 3cm.

To find: DC

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)`

`6/9=3/(DC)`

`DCxx(5xx3)/6`

`DC= 2.5cm`

Hence we got the result `b`