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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
Solution
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`
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