In an isosceles triangle with a 56cm perimeter, the base is 2: 3 to the side. Find the base of the triangle.

1. Given an isosceles triangle.

He has two sides equal, called lateral sides.

The third side is the base.

2. Let X cm be the length of one conventional unit of length.

It is known that the base refers to the side as 2: 3.

Then 2 * X cm is the length of the base of the triangle.

And 3 * X cm – the length of the side.

3. It is known that the perimeter of a triangle is 56 cm.

We get the equation.

2 * X + 3 * X + 3 * X = 56.

8 * X = 56.

X = 56/8.

X = 7 cm – the length of the conventional unit.

2 * X = 2 * 7 = 14 cm – base length.

Answer: The base of the triangle is 14 cm.