document.write( "Question 400428: The area of a right triangle is 44 meters squared. Find the lenghts of its legs if one of the legs is 3 meters longer than the other. \n" ); document.write( "

Algebra.Com's Answer #283544 by Fombitz(32388) $\"\"$ $\"About$

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$\"A=%281%2F2%29bh=44\"$
\n" ); document.write( "Let $\"x\"$ be the measure of the shorter leg.
\n" ); document.write( " $\"x%28x%2B3%29=88\"$
\n" ); document.write( " $\"x%5E2%2B3x-88=0\"$
\n" ); document.write( " $\"%28x%2B8%29%28x-11%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x%2B8=0\"$
\n" ); document.write( " $\"x=-8\"$
\n" ); document.write( "A negative solution doesn't make sense in this problem.
\n" ); document.write( " $\"x-11=0\"$
\n" ); document.write( " $\"highlight%28x=11%29\"$
\n" ); document.write( "The sides of the triangle are 11 and 14 meters.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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