In an isosceles triangle with a perimeter of 35 cm, the lateral side is 2 times the base. Find the sides of the triangle.

Given:

isosceles triangle ABC,

AB and BC – lateral sides,

АС – bases,

P ABC = 35 centimeters,

AB = 2 * AC.

Find the sides of the triangle ABC, that is, AB, BC and AC -?

Solution:

Consider an isosceles triangle ABC. Its sides are equal to each other, that is, AB = BC.

Let the length of the AC side be x centimeters, then the lengths of the AB and BC sides are 2 * x centimeters. We know that P ABC = 35 centimeters. Let’s make the equation:

x + 2 * x + 2 * x = 35;

5 * x = 35;

x = 35: 5;

x = 7 centimeters – speaker length;

2 * 7 = 14 centimeters – lengths AB and BC.

Answer: 7 centimeters; 14 centimeters; 14 centimeters.