Question

A triangle has side lengths of (5h-4k) centimeters, (10h+7m) centimeters, and (5m-2k) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

1) (5h-4k) + (10h+7m) + (5m-2k)
2) 5h-4k + 10h+7m + 5m-2k
3) 5h-4k + 10h+7m - 5m-2k
4) (5h-4k) + (10h+7m) - (5m-2k)

Answer 1

The perimeter of the triangle is given by the sum of its three side lengths, which leads to the expression (5h-4k) + (10h+7m) + (5m-2k) centimeters.

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of all its sides. Given the side lengths (5h-4k) centimeters, (10h+7m) centimeters, and (5m-2k) centimeters, the expression that represents the perimeter of the triangle is simply the sum of these side lengths:

(5h-4k) + (10h+7m) + (5m-2k)

Therefore, the correct expression for the perimeter is Option 1: (5h-4k) + (10h+7m) + (5m-2k).