SOLUTION: Suppose you need to construct a right triangle in which the shortest side is eight feet less than the largest side and the third side is seven feet more than the shortest side.

Question 205479: Suppose you need to construct a right triangle in which the shortest side is eight feet less than the largest side and the third side is seven feet more than the shortest side.
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
Suppose you need to construct a right triangle in which the shortest side is eight feet less than the largest side and the third side is seven feet more than the shortest side.








Substitute  for  in 






Substitute  for  and  for M in 










   
       

So the longest side is 13 ft or 5 ft
But we must check:

Substituting    




That's one solution. Longest = 13 ft, Middle = 12 ft, Longest = 13 ft.

Substituting    




That would require a triangle to have a negative side,
so we discard that as a solution.

Edwin

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