document.write( "Question 326843: If the longer leg of a right triangle is 1 cm longer than the shorter leg and the hypotenuse is 5 cm then what are the lengths of the legs? \n" ); document.write( "

Algebra.Com's Answer #234050 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let A and B be the legs.
\n" ); document.write( " $\"B=A%2B1\"$
\n" ); document.write( " $\"H=5\"$
\n" ); document.write( "Since it's a right triangle, use the Pythagorean theorem,
\n" ); document.write( " $\"A%5E2%2BB%5E2=H%5E2\"$
\n" ); document.write( " $\"A%5E2%2B%28A%2B1%29%5E2=5%5E2\"$
\n" ); document.write( " $\"A%5E2%2BA%5E2%2B2A%2B1=25\"$
\n" ); document.write( " $\"2A%5E2%2B2A-24=0\"$
\n" ); document.write( " $\"A%5E2%2BA-12=0\"$
\n" ); document.write( " $\"%28A%2B4%29%28A-3%29=0\"$
\n" ); document.write( "Only the positive solution makes sense for this problem,
\n" ); document.write( " $\"A-3=0\"$
\n" ); document.write( " $\"highlight%28A=3%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"highlight%28B=4%29\"$ \n" ); document.write( "

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