A triangle has side lengths of left parenthesis, 9, v, minus, 7, w, right parenthesis(9v−7w) centimeters, left parenthesis, 7, v, plus, 10, x, right parenthesis(7v+10x) centimeters, and left parenthesis, 8, x, plus, 5, w, right parenthesis(8x+5w) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Question
A triangle has side lengths of left parenthesis, 9, v, minus, 7, w, right parenthesis(9v−7w) centimeters, left parenthesis, 7, v, plus, 10, x, right parenthesis(7v+10x) centimeters, and left parenthesis, 8, x, plus, 5, w, right parenthesis(8x+5w) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Solution
The perimeter of a triangle is the sum of the lengths of all its sides.
Given that the sides of the triangle are (9v−7w) centimeters, (7v+10x) centimeters, and (8x+5w) centimeters, we can find the perimeter by adding these expressions together.
So, the perimeter of the triangle, in centimeters, is (9v−7w) + (7v+10x) + (8x+5w).
This simplifies to 16v + 18x - 2w centimeters.
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