In an isosceles triangle, the side refers to the base as 5: 2 P = 48. Find the sides of the triangle.

An isosceles triangle is a triangle in which the sides are equal to each other, as well as the angles at the base are equal.

Since in this triangle the side and the base are related as 5: 2, and the perimeter of this triangle is 48 centimeters, we will express these sides as follows:

5x – the length of the lateral side AB and BC;

2x – the length of the base of the speaker;

5x + 5x + 2x = 48;

12x = 48;

x = 48/12 = 4;

AB = BC = 5 4 = 20 cm;

AC = 2 4 = 8 cm.

Answer: the sides of the triangle are 20 cm, the base is 8 cm.