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Question: In a right angled triangle, the lengths of the legs are 'a' and 'b' and radii of inscribed and circ...

In a right angled triangle, the lengths of the legs are 'a' and 'b'

and radii of inscribed and circumscribed circle are 'r' and 'R'

respectively, then –

A

R + r = a + b

B

2R + 2r = a + b

C

Rr =

D

None of these

Answer

2R + 2r = a + b

Explanation

Solution

R = ⇒ 2R =

r =

R + r =

r = aba+b+a2+b2\frac { a b } { a + b + \sqrt { a ^ { 2 } + b ^ { 2 } } }