Question

Sides of a triangle are in the ratio 25 : 17 : 12 and its perimeter is 540 m. Find its area.

Answer 1

Let sides of the triangle be 25x, 17x and 12x.

According to question, perimeter = 540 m

i.e. 25x + 17x + 12x = 540 m

54x = 540 m

⇒ x = 10 m

Sides are 250 m, 170 m, 120 m

⇒ Semi-perimeter (s) = \(\frac { 250 + 170 + 120 }{ 2 }\) 

= 270 m

Area of triangle

Hence, the area of triangle = 9000 m².