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A certain right triangle with integer side lengths has perimeter 180. What is its area?

 Jul 15, 2022
 #1
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You have 6 possible configurations as follows:

 

         a    b    c

1  = (60, 45, 75)
2  = (45, 60, 75)
3  = (72, 30, 78)
4  = (30, 72, 78)
5  = (80, 18, 82)
6  = (18, 80, 82)

 

What is the area of a right triangle? Can you figure it out?

 Jul 15, 2022

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