Question

Show all steps used to solve the problem. One point for steps and one point for solution. Be sure that you check your solution for correctness.
The measures of three sides of a triangle are consecutive odd integers. The perimeter of the triangle is 57. What are the measures of the three sides? One point for the equation and one point for the solution.

Answer 1

Let n, n+1, and n+2 be the sides of the triangle.
Since the perimeter (P) is the sum of the sides,
\[P=n+(n+1)+(n+2)\]
\[57=3n+3\]
\[3n=54\]
\[n=18\]
Thus, the measures of the sides of the triangle are 18, 19, and 20.