The sum of the sides of the triangle is 50 cm. One side is 5 cm shorter than the other and 2 times

The sum of the sides of the triangle is 50 cm. One side is 5 cm shorter than the other and 2 times as long as the third. Find the sides of the triangle.

1. Suppose that the first side of the triangle is equal to e, then the second is equal to 5 + e, and the third is equal to e / 2. Add all sides and get 50 cm:
e + 5 + e + e / 2 = 50,
2e + e / 2 = 50 – 5,
2.5e = 45,
e = 45 / 2.5,
e = 18 cm.
2. Now let’s calculate the value of the second and third sides:
Second = 5 + 18 = 23.
Third = 18/2 = 9.
Answer: the sides of the triangle are 18 cm, 23 cm and 9 cm.