The base of an isosceles triangle is 10 cm less than the lateral side and its perimeter is 44 cm

The base of an isosceles triangle is 10 cm less than the lateral side and its perimeter is 44 cm, find the sides of the triangle.

1. Let’s denote the length of the base of the triangle equal to x cm.

2. Since the triangle is isosceles, then its lateral sides are equal and will be:

(x + 10) cm.

3. If it is known that the perimeter of the triangle is 44 cm, then we can draw up the equation:

x + 2 (x + 10) = 44;

x + 2x + 20 = 44;

3x = 24;

x = 8.

4. The base of the triangle is 8 cm. Find the length of the side:

8 + 10 = 18 cm.

Answer: the sides of the triangle are 18cm, 8cm and 18cm.