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Question
In the given figure, if AC is bisector of ∠BAD such that AB = 3 cm and AC = 5 cm, then CD =
Options
2 cm
3 cm
4 cm
5 cm
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Solution
It is given that
AC, is bisector of ∠BAD
∠BAC = ∠CAD
AB = 3cm
AC =5cm
We are to find the side CD
Analyze the figure and conclude that
CD = BC (As in the two triangles are congruent)
In ΔABC
`BC = sqrt25- 9`
`= sqrt 16`
= 4
So
BC = CD
⇒ CD = 4
Hence (c) CD = 4.
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