The lateral side AB of an isosceles triangle ABC is twice as long as the base of AC

The lateral side AB of an isosceles triangle ABC is twice as long as the base of AC. Calculate the lengths of the sides of the triangle if its perimeter is 43 cm.

An isosceles triangle is a triangle with equal sides. The perimeter of a triangle is equal to the sum of the lengths of its three sides.

1. The length of the base of a triangle is x centimeters.

2. The length of the side of the triangle is x * 2 = 2x cm.

3. Let’s compose and solve the equation.

x + 2x + 2x = 43;

5x = 43;

x = 43/5 = 8.6;

x = 8.6;

Answer: The length of the base of an isosceles triangle is x = 8.6 centimeters. The sides of an isosceles triangle are x * 2 = 8.6 * 2 = 17.2 centimeters.