SOLUTION: 2 sides of a triangle have lengths 9 and 12. Given that the third side of the triangle also has an integer length, what is the maximum possible perimeter of the triangle?

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Question 678996: 2 sides of a triangle have lengths 9 and 12. Given that the third side of the triangle also has an integer length, what is the maximum possible perimeter of the triangle?


Answer by DrBeeee(684)   (Show Source): You can put this solution on YOUR website!
The max would occur when the third side is the hypo.
Use c^2 = 12^2 + 9^2
and get
c = 15.
The max perimeter is the sum of 9, 12, and 15 or 36 units

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