document.write( "Question 745003: 5.) The lengths of the legs of a right triangle are consecutive even integers. The numerical
\n" ); document.write( "value of the area is three times that of the longer leg. Find the lengths of the legs of the
\n" ); document.write( "triangle.
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Algebra.Com's Answer #453707 by savvyhush23(50)\"\" \"About 
You can put this solution on YOUR website!
Let,
\n" ); document.write( "x - be the smaller leg
\n" ); document.write( "x+2 - (consecutive number)be the longer leg.\r
\n" ); document.write( "\n" ); document.write( "Area of triangle: \"A=%28x%29%28x%2B2%29%2F2\"
\n" ); document.write( "The numerical value of the area is three times that of the longer leg
\n" ); document.write( "\"A+=+3%28x%2B2%29\"
\n" ); document.write( "Equate both area:
\n" ); document.write( "\"%28x%29%28x%2B2%29%2F2=%28x%2B2%29\"
\n" ); document.write( "\"x%5E2-4x-12=0\"
\n" ); document.write( "Use quadratic formula:
\n" ); document.write( "x = 6 smaller leg
\n" ); document.write( "x + 2 = 8 larger leg
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