SOLUTION: Why could a right triangle with integers for lenghths of sides not have shorter sides measuring 5 and 10 units?

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Question 256932: Why could a right triangle with integers for lenghths of sides not have shorter sides measuring 5 and 10 units?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Using the Pythagorean theorem,
A%5E2%2BB%5E2=C%5E2
5%5E2%2B10%5E2=C%5E2
C%5E2=25%2B100=125
C=5%2Asqrt%285%29
which violates your original statement "with integers for lenghths of sides" since this side is an irrational number and not an integer.