document.write( "Question 124662: Solve.\r
\n" ); document.write( "\n" ); document.write( "The shorter leg of a right triangle is 4 cm less than the longer leg. The hypotenuse is 6 cm long. Find the length of the longer leg.
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Algebra.Com's Answer #91451 by checkley71(8403)\"\" \"About 
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(X-4)^2+X^2=6^2
\n" ); document.write( "X^2-8X+16+X^2=36
\n" ); document.write( "2X^2-8X+16-36=0
\n" ); document.write( "2X^2-8X-20=0
\n" ); document.write( "2(X^2-4X-10)=0
\n" ); document.write( "USING THE QUADRATIC EQUATION:\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" WE GET:
\n" ); document.write( "X=(4+-SQRT[-4^2-4*1*-10])/2*1
\n" ); document.write( "X=(4+-SQRT16+40])/2
\n" ); document.write( "X=(4+-SQRT56])/2
\n" ); document.write( "X=(4+-7.48)/2
\n" ); document.write( "X=(4+7.48)/2
\n" ); document.write( "X=11.48/2
\n" ); document.write( "X=5.74 ANSWER FOR THE LONGEST LEG.
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