One side of the triangle is 5 times smaller than the second and 25 cm smaller than the third.

One side of the triangle is 5 times smaller than the second and 25 cm smaller than the third. Find the sides of the triangle if its perimeter is 74 cm.

1. Take as x the length of the first side of the triangle.

2. The second side of the triangle is 5x cm.

3. The third side of the triangle (x + 25) cm.

4. We compose the equation and solve it:

x + 5x + x + 25 = 74;

7x = 49;

x = 7 cm.

The second side of the triangle is 5 x 7 = 35 cm.

The third side of the triangle is 7 + 25 = 32 cm.

Answer: the first side of the triangle is 7 cm, the second is 35 cm, the third is 32 cm.