# The perimeter of an isosceles triangle is 31 cm, its lateral side is 2 cm more than the base

January 31, 2021 | education

| **The perimeter of an isosceles triangle is 31 cm, its lateral side is 2 cm more than the base. Find the sides of the triangle.**

Given:

The perimeter of an isosceles triangle is 31 cm.

The lateral side is 2 cm larger than the base.

Let the base of this triangle be x centimeters.

Then the side will be (x +2) centimeters.

The second side will also be equal to (x +2) centimeters.

Let’s make the equation:

x + x + 2 + x + 2 = 31;

3x + 4 = 31;

3x = 31 – 4;

3x = 27;

x = 27: 3;

x = 9.

The base of the triangle is 9 centimeters long.

Let’s find the sides of this figure:

9 + 2 = 11 cm.

Answer: 11 cm, 11 cm and 9 cm.

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