# The perimeter of an isosceles triangle is 16.4 cm. One side of the triangle is 4.4 cm longer than the other.

August 31, 2021 | education

| **The perimeter of an isosceles triangle is 16.4 cm. One side of the triangle is 4.4 cm longer than the other. One of the outer corners of the triangle is sharp. find the sides of the triangle.**

An isosceles triangle is a triangle in which the two sides and the angles at these sides are equal, and the third side is called the base. Let’s designate the side as “x” cm, then the base will be equal to (x + 4.4) cm. Knowing that the perimeter is 16.4 centimeters. Let’s make an equation. The perimeter of any shape is equal to the sum of the lengths of all its sides.

x + x + (x + 4.4) = 16.4;

x + x + x + 4.4 = 16.4;

x + x + x = 16.4 – 4.4;

3x = 12;

x = 12/3;

x = 4.

Thus, the sides are 4 cm each, and the base is 4 + 4.4 = 8.4 cm.

Answer: 4 cm, 4 cm, 8.4 cm.