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Question
In a ∆ABC, AD is the bisector of ∠BAC. If AB = 6 cm, AC = 5 cm and BD = 3 cm, then DC =
Options
11.3 cm
2.5 cm
3 : 5 cm
None of these
Solution
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`
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