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In triangle ABC,angleC=(2pi)/3 and CD i...

In triangle `ABC,angleC=(2pi)/3 and CD` is the internal angle bisector of `angleC` meeting the side `AB` at `D.` If Length `CD` is equal to

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
`CD = (2ab)/(a+b) cos.(C)/(2) = (2ab)/(a+b) cos.(pi)/(3) = (ab)/(a+b) = 1`
`:. (2ab)/(a+b) = 2`
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