The perimeter of a triangular field is 540 m and its sides are in the ratio 25 : 17 : 12. Find the area of a triangle.
Sides of triangle are in ratio: 25 : 17 : 12
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]
=
= 270
A =
A = =
m2