A triangle has sides of length x inches, x + 1 inches, and x + 2 inches and its perimeter is given by x + (x + 1) + (x + 2) = 12 inches. Find the measures of the sides by solving the perimeter equation.
A) 3 inches, 5 inches, 7 inches
B) 3 inches, 3 inches, 3 inches
C) 4 inches, 5 inches, 6 inches
D) 3 inches, 4 inches, 5 inches

Question

Quizplus · Accepted Answer

By simplifying the given equation, 
x + (x + 1) + (x + 2) = 12 inches

3x + 3 = 12 inches
3x = 9 inches
x = 3 inches

Therefore, the sides are x = 3 inches, x + 1 = 4 inches, and x + 2 = 5 inches, which correspond to choice D.

A Triangle Has Sides of Length X Inches, X