Question

The perimeter of a triangullar field is 144 m and the ratio of the sides is 3 : 4 : 5. Find the area of the field.

Answer 1

The area of a triangle having sides a, b, c and s as semi-perimeter is given by,

, where,

It is given the sides of a triangular field are in the ratio 3:4:5 and perimeter=144 m

Therefore, a: b: c = 3:4:5

We will assume the sides of triangular field as

Substituting the value of x in, we get sides of the triangle as

Area of a triangular field, say A having sides a, b , c and s as semi-perimeter is given by