In an isosceles triangle, the base is 2 times smaller than the lateral side, and the perimeter is 37.5 cm.

In an isosceles triangle, the base is 2 times smaller than the lateral side, and the perimeter is 37.5 cm. Find the sides of the triangle.

Given the perimeter of the triangle P = 37.5 cm; that is, the sum of all its sides is 37.5 cm. The sides of an isosceles triangle are equal. Let us express the base in terms of x and compose the equation:

x + 2x + 2x = 37.5;

5x = 37.5;

x = 7.5 cm – the base of an isosceles triangle;

x × 2 = 7.5 × 2 = 15 cm – sides.