Let the sides of a given triangle be a = 25x, b = 17x, c = 12x respectively,
Given, Perimeter of triangle = 540 cm
2s = a + b + c
a + b + c = 540 cm
25x + 17x + 12x = 540 cm
54x = 540 cm
x = 10 cm
So, the sides of a triangle are
a = 250 cm
b = 170 cm
c = 120 cm
Semi perimeter, \(s = \frac{(a+b+c)}{2}\)
= \(\frac{540}{2}\)
= 270
s = 270 cm
From Heron’s Formula;
Hence, the area of the triangle is 9000 cm2.
