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

Sides of triangle are in ratio: 3 : 4 : 5

Since the perimeter of a triangle is given by:

Therefore sides of the triangle are:

When a, b and c are the sides of triangle and s is the semi-perimeter, then its area is given by:

A = where [Heron’s Formula]

= = 72

A =

A = = cm2

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