In an isosceles triangle with a perimeter of 40 cm, the base is 2 times smaller than the lateral side.

In an isosceles triangle with a perimeter of 40 cm, the base is 2 times smaller than the lateral side. Find the sides of the triangle.

A triangle is three points that do not lie on one straight line, connected by segments. In this case, the points are called the vertices of the triangle, and the segments are called its sides.

An isosceles triangle is a triangle in which the sides are equal:

AB = BC.

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

P = AB + BC + AC.

Since the base of the AC is two times smaller than the sides of AB and BC, and the perimeter of the triangle is 40, then we express:

x – the length of the base of the speaker;

2x – the length of the sides AB and BC;

x + 2x + 2x = 40;

5x = 40;

x = 40/5 = 8;

AC = 8 cm;

AB = BC = 2 8 = 16 cm.

Answer: the length of the sides AB and BC is 16 cm, the length of the base of the AC is 8 cm.