document.write( "Question 87662: . \n" ); document.write( "
Algebra.Com's Answer #63828 by malakumar_kos@yahoo.com(315)\"\" \"About 
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\n" ); document.write( " The Hypotenuse of a right triangle is 9 meters long. Ones leg is 3 meters longer than the other. Find the lengths of the legs. Round the answer to the nearest tenth
\n" ); document.write( " Let the length of the smaller side be = x
\n" ); document.write( " the length of the othr side will be = x+3
\n" ); document.write( " the length of the hypotenuse is = 9 mts therefore formula is
\n" ); document.write( " (hypotenuse)^2 = (smaller side)^2 + (other side)^2
\n" ); document.write( " 9^2 = x^2+(x+3)^2 ; 81 = x^2+x^2+6x+9 ; 81 = 2x^2+6x+9
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\n" ); document.write( " 2x^2+6x+9-81 = 0, 2x^2+6x-72=0 , x^2+3x-36=0 (divide by 2 throughout)
\n" ); document.write( " by using the formula
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\n" ); document.write( " \"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" we get x = -3 +- sqrt 153/2
\n" ); document.write( " length of the smaller side = -3+-sqrt153/2 other side = 3+(-3+-sqrt153/2) \n" ); document.write( "
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