SOLUTION: is 8 7 5 measurements of a right triangle ?

Algebra ->  Triangles -> SOLUTION: is 8 7 5 measurements of a right triangle ?      Log On


   



Question 662265: is 8 7 5 measurements of a right triangle ?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

They would be if it turns out that c² = a² + b² is true. 

c² = a² + b²
8² = 7² + 5²

Let's find out if that's true.  8²=64, 7²=49, 5²=25

64 = 49 + 25

     1
     49
    +25
     74


No, because we had to carry that 1 when we added, and
that made it come out 74 istead of 64.  If only we
hadn't had to carry that 1 they would have been the
measurements of the sides of a right triangle.  But
since we had to carry that 1, they aren't.  Too bad.

Edwin