Question

The perimeter of a triangle is 28 cm and the radius of the triangle is 2.5 cm. what is the area of the triangle

Answer 1

Area of a triangle = r * s
Where r is the in radius and s is the semi perimeter of the triangle
Area of triangle = 2.5 * 28/2 = 35

Answer 2

Answer:

Area of triangle is 35 cm²        

Step-by-step explanation:

To Find: Area of triangle.

we are given Perimeter of triangle = 28 cm

we are also given Inradius of Triangle = 2.5 cm

There is a result to calculate area using inradius and perimeter, which is given by

Area of triangle = Inradius × Semi-perimeter

Semi-Perimeter = $\frac{Perimeter}{2}=\frac{28}{2}=14\:cm$

⇒ Area of triangle = 2.5 × 14 = 35 cm²

Therefore, Area of triangle is 35 cm²