The perimeter of the triangle is 114 cm and the lengths of the sides are 5: 6: 8 find the length of the triangle.

Before you can find the length of each side of the triangle, you should determine the sum of their relationship.

5 + 6 + 8 = 19.

Find how many centimeters 1 part of the perimeter is.

Divide the perimeter value into 19 equal parts.

114/19 = 6 cm.

To find the length of each side, you need to multiply the corresponding part by 6 cm.

1st side:

5 * 6 = 30 cm.

2nd side:

6 * 6 = 36 cm.

3rd side:

8 * 6 = 48 cm.

We check the correctness of the solution.

30 + 36 + 48 = 114 cm.

Answer: The sides are 30, 36 and 48 cm.