Question

An isosceles triangle has two sides of equal length. The third side is 30 m shorter than twice the length of each congruent side. The perimeter is 570 m. Find the length of each side.

Answer 1

150, 150, 270

Explanation:

let the congruent sides be x, then

the third side is 2x - 30 ( 30 shorter than twice the congruent sides )

The perimeter = 570, hence

x + x + 2x - 30 = 570

4x - 30 = 570 ( add 30 to both sides )

4x = 600 ( divide both sides by 4 )

x = 150

2x - 30 = (2 × 150) - 30 = 300 - 30 = 270

The length of the 3 sides are 150, 150 and 270