The perimeter of an isosceles triangle is 16.5 cm.Find its sides if it is known that the base is 4 cm larger than the sides.

It is known from the condition that the perimeter of an isosceles triangle is 16.5 cm.And it is also known that the base is 4 cm larger than the lateral sides.

To do this, we will compose and solve a linear equation.

We denote by the variable x cm the side of an isosceles triangle, then the base can be written as (x + 4) cm.

In an isosceles triangle, the two sides are equal.

Let’s write down the formula for finding the perimeter.

P = 2a + b;

2x + (x + 4) = 16.5;

2x + x + 4 = 16.5;

3x = 16.5 – 4;

3x = 12.5;

x = 12.5: 3;

x = 4.17 cm side.

4.17 + 4 = 8.17 cm base of the triangle.