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Question
In the adjoining figure, if AD is the bisector of ∠A, what is AC?
Solution
GIVEN: AB = 6cm, BD = 3cm and DC = 2cm. Also, AD is the bisector of ∠ A..
TO FIND: AC
SOLUTION: We know that the internal bisector of a triangle divides the opposite side internally in the ratio of the sides containing the angle. Therefore,
`(AB)/(AC)=(BD)/(DC)`
`6/(AC)=3/2`
`AC=(6xx2)/3`
`AC = 4cm`
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