Question

Two equal sides of a triangle are each 5 meters less than twice the third side. if the perimeter of the triangle is 55 meters, find the length of its sides’?

Answer 1

A triangle in which the length of the third side = x m. say.

The length of remaining two equal sides = 2 × x – 5 = (2x – 5) m. 

Perimeter of a triangle = 55 m. 

∴ (2x – 5) + (2x -5) + x = 55 

⇒ 5x – 10 = 55 

⇒ 5x = 65 

⇒ x = \(\frac{65}5\)

∴ x = 13m 

2x – 5 = 2 × 13 – 5 = 26 – 5 = 21m. 

∴ The lengths of three sides of a triangle are 13, 21, 21. (in m.)