document.write( "Question 189631: The hypotenuse of a right triangle measures 10 feet. The shorter leg measures 10 feet less than twice the length of the longer leg. How long is the shorter leg? \n" ); document.write( "
Algebra.Com's Answer #142351 by jonvaliente(64)\"\" \"About 
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Let x=length of the longer leg
\n" ); document.write( "hypotenuse=10 feet
\n" ); document.write( "shorter leg = 2x-10\r
\n" ); document.write( "\n" ); document.write( "Pythagorean theorem:\r
\n" ); document.write( "\n" ); document.write( "\"10%5E2=x%5E2%2B%282x-10%29%5E2\"
\n" ); document.write( "\"100=x%5E2%2B%284x%5E2-40x%2B100%29\"
\n" ); document.write( "\"100=5x%5E2-40x%2B100\"\r
\n" ); document.write( "\n" ); document.write( "Subtracting 100 from both sides, we get:\r
\n" ); document.write( "\n" ); document.write( "\"0=5x%5E2-40x\"\r
\n" ); document.write( "\n" ); document.write( "Dividing both sides by 5x we get:\r
\n" ); document.write( "\n" ); document.write( "\"0=x-8\"\r
\n" ); document.write( "\n" ); document.write( "Adding 8 on both sides we get:\r
\n" ); document.write( "\n" ); document.write( "\"x=8\"\r
\n" ); document.write( "\n" ); document.write( "Shorter Leg = 2x-10 = 2*8-10=6 feet\r
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