Find the sides of an isosceles triangle if its perimeter is 70cm and the base is 2 times smaller

| July 23, 2021 | education

Find the sides of an isosceles triangle if its perimeter is 70cm and the base is 2 times smaller than the lateral side, find the side of an isosceles triangle and its base.

An isosceles triangle is a triangle whose two sides are equal. Let’s denote the length of the base of the triangle by “x”, then the side is 2x centimeters. Knowing that the perimeter of a triangle is equal to the sum of the lengths of all sides of the triangle and is equal to 70 centimeters, we draw up an equation.

x + 2x + 2x = 70;

Simplify the expression on the left side of the equation. To do this, we find the value of the sum of similar monomials on the left side of the equation.

5 * x = 70;

x = 70/5;

x = 14 cm.

The base is 14 cm, and the side is 2 * 14 = 28 cm.

Answer: 14 cm, 28 cm, 28 cm.



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