Question

LINEAR EQUATION : Two equal sides of a triangle are each 5 metres less than twice the third side.If the perimeter of the triangle is 55 metres,find the lengths of the sides.

Answer 1

Hello dear!

Let the third side be x.
Therefore, First side = 2x - 5 = Third Side
Perimeter of the triangle = 55 m
Sum all sides = 55 m
(2x-5) + (2x-5) + x = 55 m
2x-5+2x-5+x = 55 m
5x - 10 = 55 m
5x = 55 + 10
5x = 65
$x = \frac{65}{5} \\ x = 13$
First side = 2x - 5 = 2 × 13 - 5 = 21 cm
Second side = 2x - 5 = 2× 13 -5 = 21 cm
Third side = x = 13 cm

Hope it helps you.