The sides of the triangle are 1: 2: 2; find these sides if the perimeter of the triangle is 7.5 cm.

From the condition, we know that the sides of a triangle are 1: 2: 2. It is also known that the perimeter of a triangle is 7.5 cm.

In order to find the lengths of the sides of a triangle, we start by introducing the variable x – the similarity coefficient and writing the lengths of the sides of the triangle as:

x cm; 2 cm and 2 cm.

Let’s recall the formula for calculating the perimeter of a triangle:

P = a + b + c;

Substitute the values and calculate:

x + 2x + 2x = 7.5;

x (1 + 2 + 2) = 7.5;

5x = 7.5;

x = 7.5: 5;

x = 1.5 cm length of the smaller side and 1.5 * 2 = 3 cm length of the other two sides.