document.write( "Question 90473: Please help me figure the following problem out. Thank you\r
\n" ); document.write( "\n" ); document.write( "One leg of a right triangle is 12 cm longer than the other leg. The length of the hypotenuse of the triangle is 36 cm. Find the length of the two legs. \n" ); document.write( "
Algebra.Com's Answer #65671 by malakumar_kos@yahoo.com(315)\"\" \"About 
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\n" ); document.write( " One leg of a right triangle is 12 cm longer than the other leg. The length of the hypotenuse of the triangle is 36 cm. Find the length of the two legs.\r
\n" ); document.write( "\n" ); document.write( " Let the length of th smaller leg be = x cm
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\n" ); document.write( " the length of the longer leg = x+12 cm
\n" ); document.write( " the length of the hypotenuse = 36 cm\r
\n" ); document.write( "\n" ); document.write( " According to Pythagorous theorem , (hypotenuse)^2 = sum of the squares of the other two sides\r
\n" ); document.write( "\n" ); document.write( " (hypotenuse)^2 = (smaller leg)^2+ (longer leg)^2\r
\n" ); document.write( "\n" ); document.write( " (36)^2 = x^2+ (x+12)^2
\n" ); document.write( " 1296 = x^2+x^2+24x+144\r
\n" ); document.write( "\n" ); document.write( " 2x^2+24x+144-1296 = 0\r
\n" ); document.write( "\n" ); document.write( " 2x^2+24x-1152 = 0
\n" ); document.write( " divide by 2 throughout\r
\n" ); document.write( "\n" ); document.write( " x^2+12x-576 = 0 since the factors for 576 cannot be found\r
\n" ); document.write( "\n" ); document.write( " use the formula x = -b+-sqrtb^2-4ac divided by 2a\r
\n" ); document.write( "\n" ); document.write( " we get x = -6+-sqrt 612\r
\n" ); document.write( "\n" ); document.write( " the other length is 6+-sqrt 612 \r
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