Question

The perimeter of the incircle is $30$ m and its radius $10$ m. What is the area of the triangle?

• A. $150$ sq. m
• B. $140$ sq. m
• C. $130$ sq. m
• D. $120$ sq. m

Answer 1

Answer: (A)

$150$ sq. m

Radius of the incircle $=$ $\frac{\text{Area of the triangle}}{\text{semi-perimeter}}$
So, $\text{radius}\times \frac{\text{perimeter}}{2}$ $=$ Area
$\Rightarrow 10\times \frac{30}{2}$ $=$ Area
Area $=150$ sq. m