NIMCET 2017 Question Paper with solutions

Question : 93 of 120

Marks: +1, -0

In a triangle ABC, let ∠C =

π/2

. If r is the inradius and z R is circumradius of the triangle ABC, then 2(r + R) equals

Solution:

Given,
∠C =

π/2

R =

c/{2sinC}

c/{2sin90°}

c/2

and r = (a - c) tan

C/2

= (s - c) tan 45°
r = (a - c)
∴ 2 (r + R) = 2

(c/2+a-c)

= 2a - c
= a + b + c - c
= a + b

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