# One side of the triangle is 10, the second is 4 cm shorter, and the third is 5 cm longer

July 25, 2021 | education

| **One side of the triangle is 10, the second is 4 cm shorter, and the third is 5 cm longer than the first. What is the perimeter of the triangle?**

1) Find the length of the second side of the triangle. If it is 4 cm shorter (i.e. less) than the first side of the triangle, then subtract 4 cm from the length of the first side.

10 – 4 = 6 (cm).

2) Find the length of the third side of the triangle. If the third side is 5 cm longer than the first side of the triangle, then add 5 cm to the length of the first side.

10 + 5 = 15 (cm).

3) Find the perimeter of the triangle. The perimeter of a triangle is equal to the sum of the lengths of its three sides. P = a + b + c.

P = 10 + 6 + 15 = 31 (cm).

Answer. 31 cm.

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