The perimeter of an isosceles triangle is 35 cm. Its base is 1.5 times larger than the lateral side

The perimeter of an isosceles triangle is 35 cm. Its base is 1.5 times larger than the lateral side. Find the sides of a given triangle.

An isosceles triangle is a triangle in which two sides are equal and are called lateral sides, and the third unequal is based:

AB = BC.

The perimeter of a triangle is the sum of all its sides:

P = AB + BC + AC.

Since the base of the AC is 1.5 times larger than the sides of AB and BC, and the perimeter is 35 cm, then we can apply:

x – sides AB and BC;

1.5x – the base of the speaker;

x + x + 1.5x = 35;

3.5x = 35;

x = 35 / 3.5 = 10;

AB = BC = 10 cm;

AC = 1.5 10 = 15 cm.

Answer: sides AB and BC are 10 cm; the side of the speaker is 15 cm.