The perimeter of an isosceles triangle is 20 cm. The lateral side of the triangle is twice as long

The perimeter of an isosceles triangle is 20 cm. The lateral side of the triangle is twice as long as its base. find the lengths of the base and side of the triangle.

In an isosceles triangle, the sides are equal. It is known that the base of a triangle is two times shorter than its lateral side, we express it in terms of x and solve the problem using the equation:

x is the base of an isosceles triangle;

2x – lateral side of an isosceles triangle.

The perimeter of the triangle is 20 cm. Let’s compose and solve the perimeter equation:

x + 2x + 2x = 20;

5x = 20;

x = 20/5;

x = 4 cm – the base of the triangle;

2x = 2 * 4 = 8 cm – the sides of the triangle.

Answer: 4 cm, 8 cm.