The lateral side of an isosceles triangle is 4cm longer than the base. Find the sides of a triangle if its perimeter is 26cm.

It is known from the condition that the lateral side of an isosceles triangle is 4 cm longer than the base. In order to find the sides of a triangle, if its perimeter is 26 cm, we will compose and solve a linear equation.

But first of all, let’s remember the properties of the sides of an isosceles triangle. The sides of an isosceles triangle are equal to each other.

Let’s take the length of the base as x, then we write the length of the side as (x + 4).

P = a + b + c;

x + x + 4 + x + 4 = 26;

3x = 26 – 8;

3x = 18;

x = 6 cm base of the triangle, 6 + 4 = 10 cm side.