The perimeter of an isosceles triangle is 7.5 m, and the lateral side is 2 m. Find the base.

It is known from the condition that the perimeter of an isosceles triangle is 7.5 meters, and the lateral side is 2 meters. In order to find the base of a triangle, let’s remember what the perimeter is and the properties of the sides of an isosceles triangle.

The perimeter is the sum of the lengths of all sides of a geometric figure.

For a triangle, the formula looks like:

P = a + b + c;

In an isosceles triangle, the sides are equal: a = b.

P = 2a + c;

2 * 2 + c = 7.5;

4 + c = 7.5;

c = 7.5 – 4;

c = 3.5 meters base of the triangle.