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?

Algebra ->  Triangles -> 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?       Log On


   

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) About Me  (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