document.write( "Question 358907: The hypotenuse of a right triangle is 4 cm longer than one leg and 8cm longer than the other leg. What is the length of each side? \n" ); document.write( "

Algebra.Com's Answer #256130 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"H%5E2=%28H-4%29%5E2%2B%28H-8%29%5E2\"$
\n" ); document.write( " $\"H%5E2=H%5E2-8H%2B16%2BH%5E2-16H%2B64\"$
\n" ); document.write( " $\"H%5E2-24H%2B80=0\"$
\n" ); document.write( " $\"%28H-4%29%28H-20%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"H-4=0\"$
\n" ); document.write( " $\"H=4\"$
\n" ); document.write( "However, one leg would be zero length, the other would be negative.
\n" ); document.write( "No solution.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"H-20=0\"$
\n" ); document.write( " $\"highlight%28H=20%29\"$ cm
\n" ); document.write( "Then the two legs are $\"16\"$ cm and $\"12\"$ cm
\n" ); document.write( " \n" ); document.write( "

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