document.write( "Question 334341: the hypotenuse of an isosceles right triangle is 10 centimeters longer than either of its legs find the exact length of each side \n" ); document.write( "

Algebra.Com's Answer #239649 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"S%5E2%2BS%5E2=%28S%2B10%29%5E2\"$
\n" ); document.write( " $\"2S%5E2=S%5E2%2B20S%2B100\"$
\n" ); document.write( " $\"S%5E2-20S-100=0\"$
\n" ); document.write( "Complete the square,
\n" ); document.write( " $\"%28S%5E2-20S%2B100%29-100=100\"$
\n" ); document.write( " $\"%28S-10%29%5E2=200\"$
\n" ); document.write( " $\"S-10=0+%2B-+sqrt%28200%29\"$
\n" ); document.write( " $\"S=10+%2B-+5sqrt%288%29\"$
\n" ); document.write( "Only the positive result makes sense here.
\n" ); document.write( " $\"highlight%28S=10+%2B+5sqrt%288%29%29\"$ cm
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"H=10%2BS\"$
\n" ); document.write( " $\"highlight%28H=20%2B5sqrt%288%29%29\"$ cm \n" ); document.write( "

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