SOLUTION: I need help please. The perimeter of a triangle is 195mm. If the lengths of the sides are consecutive odd integers, find the length of each side. Thank you.

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Question 27918: I need help please. The perimeter of a triangle is 195mm. If the lengths of the sides are consecutive odd integers, find the length of each side.
Thank you.
Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website!
You can let x = the length of the short side. Then the length of next largest side would be x+2 and the length of the largest side would be x+4. These sides add up to 195 mm. You can set up the equation to find x, the length of the short side.
Simplify and solve for x.
Subtract 6 from both sides of the equation.
Divide both sides by 3.

The length of the short side is 63 mm
The length of the middle side is x+2 = 63+2 = 65 mm
The length of the long side is x+4 = 63 + 4 = 67 mm
Check: 63+65+67 = 195 mm