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The lengths of the sides CB and CA of a...

The lengths of the sides `CB` and `CA` of a triangle `ABC` are given by `a` and ` b` and the angle `C` is `(2pi)/(3)`. The line `CD` bisects the angle `C` and meets `AB` at `D`. Then the length of `CD` is : (a) `(1)/(a+b)` (b) `(a^(2)+b^(2))/(a+b)` (c) `(ab)/(2(a+b))` (d) `(ab)/(a+b)`

A

`(1)/(a+b)`

B

`(a^(2)+b^(2))/(a+b)`

C

`(ab)/(2(a+b))`

D

`(ab)/(a+b)`

Text Solution

Verified by Experts

The correct Answer is:
D
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