The perimeter of an isosceles triangle is 35 cm. Find the sides of this triangle if the side is 5 cm less than the base.

Given:

triangle ABC is isosceles,

AB and BC – lateral sides,

АС – bases,

P ABC = 35 centimeters,

AC = AB + 5 centimeters.

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

Decision:

Consider an isosceles triangle ABC. Let the length of the AB side be x centimeters, then the length of the AC side = x + 5 centimeters. We know that the perimeter of triangle ABC is 35 centimeters. Let’s make the equation:

x + x + x + 5 = 35;

x + x + x = 35 – 5;

x + x + x = 30;

x * (1 + 1 + 1) = 30;

x * 3 = 30;

x = 30: 3;

x = 10 centimeters – the length of the sides AB and BC;

10 + 5 = 15 centimeters – the length of the speaker side.

Answer: 10 centimeters; 10 centimeters; 15 centimeters.