Question

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

Answer 1

The perimeter of the triangle is the sum of its three side lengths:

\[ P = (5h - 4k) + (10h + 7m) + (5m - 2k) \]

Combining like terms:

\[ P = 15h + 5m - 6k + 7m \]

So, the expression representing the perimeter is \( 15h + 12m - 6k \) centimeters.