document.write( "Question 1182033: the hypotenuse of a right triangle is 6 cm. One side is 2cm longer than the other. Find the length of the two sides of this right-angle triangle. \n" ); document.write( "
Algebra.Com's Answer #811994 by MathLover1(20849)\"\" \"About 
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the hypotenuse of a right triangle is \"6cm\". =>\"c=6\"\r
\n" ); document.write( "\n" ); document.write( "One side is \"2cm\" longer than the other. =>\"a=b%2B2\"\r
\n" ); document.write( "\n" ); document.write( "Find the length of the two sides of this right-angle triangle\r
\n" ); document.write( "\n" ); document.write( "\"c%5E2=a%5E2%2Bb%5E2\"......substitute given\r
\n" ); document.write( "\n" ); document.write( "\"6%5E2=%28b%2B2%29%5E2%2Bb%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"36=b%5E2%2B4b%2B4%2Bb%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"36=2b%5E2%2B4b%2B4\"...simplify\r
\n" ); document.write( "\n" ); document.write( "\"18=b%5E2%2B2b%2B2\"\r
\n" ); document.write( "\n" ); document.write( "\"b%5E2%2B2b%2B4-18=0\"\r
\n" ); document.write( "\n" ); document.write( "\"b%5E2%2B2b-14=0\"\r
\n" ); document.write( "\n" ); document.write( "using quadratic formula you get:\r
\n" ); document.write( "\n" ); document.write( "\"b+=+-1+-+sqrt%2817%29\"=>disregard negative solution
\n" ); document.write( "\"b+=+-1+%2B+sqrt%2817%29\"
\n" ); document.write( "\"a=-1+%2B+sqrt%2817%29%2B2\"=>\"a=1+%2B+sqrt%2817%29\"\r
\n" ); document.write( "\n" ); document.write( "or approximately:
\n" ); document.write( "\"b=3.12310562561766\"
\n" ); document.write( "\"a=3.12310562561766%2B2\"=> \"a=5.12310562561766\"\r
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