The perimeter of the triangle is 125 cm, and the sides are proportional to the numbers 4,9,12 find the sides of the triangle.

To solve the problem, we will compose and solve the equations.

Let’s see what we know from the condition. The perimeter of the triangle is known – 125 cm, and also that the sides are proportional to the numbers 4: 9: 12.

Let’s start by introducing the similarity coefficient k.

Then the sides of the triangle can be written as 4k; 9k and 12k.

The perimeter of a triangle can be found using the formula:

P = a + b + c;

4k + 9k + 12k = 125;

We solve the resulting equation:

k (4 + 9 + 12) = 125;

25k = 125;

k = 125: 25;

k = 5.

Find the sides of the triangle:

4 * 5 = 20 cm, 9 * 5 = 45 cm and 12 * 5 = 60 cm.