One of the sides of the triangle is 5 times smaller than the second and 25 cm

One of the sides 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.

The perimeter of a triangle is equal to the sum of its three sides. We will solve the problem using an equation with one unknown.

1). One side of a triangle is x centimeters.

2). The second side of the triangle is x * 5 = 5x centimeters.

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

4). Let’s compose and solve the equation.

x + 5x + (x + 25) = 74;

x + 5x + x +25 = 74;

x + 5x + x = 74 – 25;

7x = 49;

x = 49/7;

x = 7;

Answer: One side of the triangle is x = 7 centimeters. The other side is x * 5 =

= 7 * 5 = 35 cm. The third side is x + 25 = 7 + 25 = 32 cm.