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In a right triangle A B C , right an...

In a right triangle `A B C` , right angled at `B ,\ B C=12 cm` and `A B=5 cm`. The radius of the circle inscribed in the triangle (in cm) is

A

`1cm`

B

`2cm`

C

`3cm`

D

`4cm`

Text Solution

Verified by Experts

In right `DeltaABC`, we have
`AC=sqrt(AB^(2)+BC^(2))=sqrt(5^(2)+12^(2))cm=13cm`
`ar(DeltaABC)=(1)/(2)xx("perimeter of" DeltaABC)xxr`
`implies(1)/(2)xx5xx12=(1)/(2)xx(5+12+13)xxrimpliesr=2cm` [`:'ar(DeltaABC)=(1)/(2)xxBCxxAB`]
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