Question

The perimeter of a triangle is 30 cm and the circumference of its incircle is 88 cm. The area of the triangle is

(a) 70 cm²

(b) 140 cm²

(c) 210 cm²

(d) 420 cm²

Answer 1

We have to find the area of the given triangle.

Perimeter of triangle is 30 cm.

Let the radius of the circle be r.

We have,

Therefore,

Therefore the answer is (c).