# The sides of a triangle are 5: 7: 11, and the sum of the largest and smallest sides is 80 cm.

July 28, 2021 | education

| **The sides of a triangle are 5: 7: 11, and the sum of the largest and smallest sides is 80 cm. Calculate the perimeter of the triangle.**

The solution of the problem:

1. Find out what the sum of the largest and smallest numbers in relation to the sides of the triangle is equal to.

5 + 11 = 16.

2. Determine how many centimeters are in one part.

80/16 = 5 centimeters.

3. What is one side of the triangle?

5 * 5 = 25 cm.

4. What is the other side of the triangle.

5 * 7 = 35 cm.

5. What is the third side of the triangle.

5 * 11 = 55 cm.

6. Let’s calculate what the perimeter of the triangle is.

25 + 35 + 55 = 105 cm.

Answer: The perimeter of a triangle is one hundred and five centimeters.