Question

The radius of the incircle is $4$ cm and its area of the triangle is $248$ ${\text{cm}}^2$. Find the semi-perimeter of the incircle.

• A. $61$ cm
• B. $62$ cm
• C. $63$ cm
• D. $64$ cm

Answer 1

Answer: (B)

$62$ cm

Given, radius of incircle $=4$ cm, area of triangle $=248{\text{cm}}^2$

Radius of the incircle $=$ $\frac{\text{Area of the triangle}}{\text{semi-perimeter}}$
Therefore, semi-perimeter $=$ $\frac{248}{4}$
Thus semi-perimeter $=62$ cm