If $△ A B C$ is right angled at B. Then the diameter of the incircle of the triangle is -

2 (c + a - b)

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c + a - 2 b

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c + a - b

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None of these

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Solution

The correct option is D None of these
As we know,
Area of triangle $= \frac{S e m i p e r i m e t e r}{R a d i u s o f i n c i r c l e (r)}$
$\frac{1}{2} . a . c = \frac{a + b + c}{2 r}$
$∴ r = \frac{a + b + c}{a . c}$

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