Question

Which of the following holds true in a Right angled triangle?

• A. r + R = s
• B. r + 2R = s
• C. 2r + R = s
• D. r + R = 2s

Answer 1

The correct option is B r + 2R = s

We know, for a Right angled triangle,
$R=\frac{a}{2}whereA={90}^{\circ }Also,r=(s-a)tan\frac{A}{2}=(s-a)tan{45}^{\circ }=(s-a)=s-2R\Rightarrow r+2R=s$