The perimeter of an isosceles triangle is 56 cm. Find the length of the base of this triangle

The perimeter of an isosceles triangle is 56 cm. Find the length of the base of this triangle if the side to base ratio is 2: 3.

Since this triangle is isosceles, it means that it has 2 equal sides.

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

If we take the value of x as an equal part, then the size of the side will be: 2 * x cm.

The size of the base will be: 3 * x.

The perimeter of a triangle can be written as:

2 * x + 2 * x + 3 * x = 56 cm.

7 * x = 56.

x = 56/7 = 8 cm.

We find the length of the base.

3 * x = 8 * 3 = 24 cm.

Find the length of the side.

2 * x = 8 * 2 = 16 cm.

Checking the solution:

16 + 16 + 24 = 32 + 24 = 56 cm.

Answer: 24