# The perimeter of an isosceles triangle is 41cm and the side is 3.5cm less than the base. Find the base of the triangle.

September 28, 2021 | education

| In order to find the base of an isosceles triangle, we will compose and solve a linear equation with one variable.

We know that the perimeter of the triangle is 41 cm. And the side is 3.5 cm less than the base.

We introduce a variable, denoting by it x cm the base of the triangle, then (x – 3.5) cm.

Let’s remember the formula for finding the perimeter and compose the equation:

P = 2 (a + b);

2 (x + x – 3.5) = 41;

2x – 3.5 = 41: 2;

2x – 3.5 = 20.5;

2x = 20.5 + 3.5;

2x = 24;

x = 24: 2;

x = 12 cm base of the triangle.

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