The lateral side of an isosceles triangle is 8 cm less than the base. Find the sides of the triangle

The lateral side of an isosceles triangle is 8 cm less than the base. Find the sides of the triangle if the perimeter of the triangle is 44 cm.

Let’s introduce a variable, let the base of the triangle be equal to x, then the side will be equal to (x – 8) cm.

The perimeter is the sum of the lengths of all sides, it is 44 cm, we draw up the equation:

x + (x – 8) + (x – 8) = 44.

x + x – 8 + x – 8 = 44.

3x – 16 = 44.

3x = 44 + 16.

3x = 60.

x = 60: 3 = 20 (cm) – the base of the triangle.

x – 8 = 20 – 8 = 12 (cm) – the side of the triangle.

Answer: the sides of the triangle are 12 cm, 12 cm, 20 cm.