The perimeter of an isosceles triangle is 168cm one of the sides is 1.5 times larger than

The perimeter of an isosceles triangle is 168cm one of the sides is 1.5 times larger than the other find the sides of the triangle.

An isosceles triangle has two equal sides (lateral) and a base. Therefore, we will consider two cases – the side side is larger than the base and, accordingly, the base is larger than the side.

1) Let the base of the triangle be m, then the sides are equal to 1.5 * m. Based on the concept of the perimeter of a triangle, we will compose and solve the equation:

m + 1.5 * m + 1.5 * m = 168;

4 * m = 168;

m = 42 – base.

1.5 * m = 63 – side.

2) Let the lateral side be m. Base – 1.5 * m.

m + m + 1.5 * m = 168;

3.5 * m = 168;

m = 48 – lateral side.

1.5 * m = 72 – base.