document.write( "Question 368728: One leg of a right triangle is 3 cm longer than the other leg. The length of the hyptenuse is 10 cm. Find the length of each side. \n" ); document.write( "

Algebra.Com's Answer #262919 by Fombitz(32388) $\"\"$ $\"About$

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$\"x%5E2%2B%28x%2B3%29%5E2=10%5E2\"$
\n" ); document.write( " $\"x%5E2%2Bx%5E2%2B6x%2B9=100\"$
\n" ); document.write( " $\"2x%5E2%2B6x-91=0\"$
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%28-6+%2B-+sqrt%28+6%5E2-4%2A2%2A%28-91%29+%29%29%2F%282%2A2%29+\"$
\n" ); document.write( " $\"x+=+%28-6+%2B-+sqrt%28+36%2B728+%29%29%2F%284%29+\"$
\n" ); document.write( " $\"x+=+%28-6+%2B-+sqrt%28+764+%29%29%2F%284%29+\"$
\n" ); document.write( " $\"x+=+%28-6+%2B-+2%2Asqrt%28+191+%29%29%2F%284%29+\"$
\n" ); document.write( " $\"x+=+%28-3+%2B-+sqrt%28+191+%29%29%2F%282%29+\"$
\n" ); document.write( "Only the positive result makes sense for this problem.
\n" ); document.write( " $\"highlight%28x+=+%28-3+%2B+sqrt%28+191+%29%29%2F%282%29%29+\"$
\n" ); document.write( "or approximately,
\n" ); document.write( " $\"x=5.41\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"x%2B3+=+%28-3+%2B+sqrt%28+191+%29%29%2F%282%29%2B6%2F2+\"$
\n" ); document.write( " $\"highlight%28x%2B3+=+%283+%2B+sqrt%28+191+%29%29%2F%282%29%29+\"$
\n" ); document.write( "or approximately,
\n" ); document.write( " $\"x=8.41\"$ \n" ); document.write( "

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