The sides of the triangle are proportional to the numbers 2, 4, 5. Find the length of the shorter side

The sides of the triangle are proportional to the numbers 2, 4, 5. Find the length of the shorter side of the triangle if its perimeter is 44cm.

Let x cm be some part of the side of the triangle.

Then the first side is 2x cm, the second side is 4x cm, the third side is 5x cm, and their sum is 44 cm.

Let’s make the equation:

2x + 4x + 5x = 44.

11x = 44.

x = 44: 11.

x = 4 (cm).

Then the smaller side of the triangle is: 2 x 4 = 8 (cm).

Answer: The length of the shorter side of the triangle is 8 cm.