Question

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

Answer 1

Let the third side be x.

The other two sides will be (2x - 5).

Given that perimeter = 55m:

(2x - 5) + (2x - 5) + x = 55

2x - 5 + 2x - 5 + x = 55

5x - 10 = 55

5x = 65

x = 13

Find the length of each side:

The third side = x = 13

The two other sides = 2x - 5 = 2(13) - 5 = 21

Answer: The length of the sides are 21m, 21m and 13m