In an isosceles triangle, the lateral side is 2 cm less than the base. The perimeter of the triangle is 32cm.

In an isosceles triangle, the lateral side is 2 cm less than the base. The perimeter of the triangle is 32cm. Find the sides of the triangle.

Let x be the lateral side of an isosceles triangle;

Then 2 + x is the base of an isosceles triangle;

We get the equation for the perimeter:

x + x + (2 + x) = 32 cm;

3x + 2 = 32 cm;

3x = 32 – 2;

3x = 30;

x = 30/3;

x = 10 cm – sides;

x + 2 = 10 + 2 = 12 cm – the base of the triangle.