document.write( "Question 831161: The longest side of a right triangle is 6cm less than twice the length of the medium side.The shortest side is 6cm.Find the length of the two other sides. \n" ); document.write( "

Algebra.Com's Answer #501348 by Fombitz(32388) $\"\"$ $\"About$

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Use the Pythagorean theorem,
\n" ); document.write( "1. $\"L%5E2=M%5E2%2BS%5E2\"$
\n" ); document.write( "2. $\"L=2M-6\"$
\n" ); document.write( "3. $\"S=6\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"%282M-6%29%5E2=M%5E2%2B6%5E2\"$
\n" ); document.write( " $\"4M%5E2-24M%2B36=M%5E2%2B36\"$
\n" ); document.write( " $\"3M%5E2-24M=0\"$
\n" ); document.write( " $\"3M%28M-8%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"M=0\"$ , not a valid solution in this case.
\n" ); document.write( " $\"M-8=0\"$
\n" ); document.write( " $\"highlight%28M=8%29\"$ then
\n" ); document.write( " $\"L=2%288%29-6\"$
\n" ); document.write( " $\"highlight%28L=10%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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