The lateral side of an isosceles triangle is 13cm larger than its base. perimeter of the triangle

The lateral side of an isosceles triangle is 13cm larger than its base. perimeter of the triangle = 68cm. Find the sides of the triangle.

The perimeter of a triangle is equal to the sum of all its sides.

In an isosceles triangle, the sides are the same length.

Let the base of the triangle be x cm, then the side side is x + 13 cm.

Let’s compose and solve the equation, taking into account that the triangle has two lateral sides;

x + 2 × (x + 13) = 68;

x + 2x + 26 = 68;

3x + 26 = 68;

3x = 68 – 26;

3x = 42;

x = 42: 3;

x = 14 (cm) – the base of the triangle.

14 + 13 = 27 (cm) – side.

Answer: The base of an isosceles triangle is 14 cm, and the side is 27 cm.