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In the given figure, what is the radius ...

In the given figure, what is the radius of the inscribed semicircle having base on AB ?

A

`3//2`

B

`5//2`

C

`7//5`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`Delta_(ACD) + Delta_(CDB) = Delta_(ABC)`
`rArr (5.r)/(2) + (3.r)/(2) = (4.3)/(2)`
`rArr 8r = 12`
`rArr r= 3//2`
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