document.write( "Question 256932: Why could a right triangle with integers for lenghths of sides not have shorter sides measuring 5 and 10 units? \n" ); document.write( "

Algebra.Com's Answer #188972 by Fombitz(32388) $\"\"$ $\"About$

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Using the Pythagorean theorem,
\n" ); document.write( " $\"A%5E2%2BB%5E2=C%5E2\"$
\n" ); document.write( " $\"5%5E2%2B10%5E2=C%5E2\"$
\n" ); document.write( " $\"C%5E2=25%2B100=125\"$
\n" ); document.write( " $\"C=5%2Asqrt%285%29\"$
\n" ); document.write( "which violates your original statement \"with integers for lenghths of sides\" since this side is an irrational number and not an integer.
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