The perimeter of an isosceles triangle is 16 cm, and the length of the lateral side is 1 cm

The perimeter of an isosceles triangle is 16 cm, and the length of the lateral side is 1 cm less than the length of the base. Calculate the lengths of the sides of this triangle.

The solution of the problem.

1. Let’s denote the lateral side of an isosceles triangle by x.

2. Determine the base of the isosceles triangle.

(x + 1) cm.

3. Let’s compose and solve the equation.

x + x + (x + 1) = 16;

x + x + x + 1 = 16;

3x + 1 = 16;

3x = 16 – 1;

3x = 15;

x = 15/3;

x = 5.

4. The sides of an isosceles triangle are equal in x = 5 cm.

5. How long is the base of an isosceles triangle?

5 + 1 = 6 cm.

Answer: the sides of an isosceles triangle are 5 cm each, the base of an isosceles triangle is 6 cm.