document.write( "Question 871468: The hypotenuse of a right triangle is 6cm and one side is 2cm longer than the other. Find the length of each side to the nearest tenth of a centimeter.
\n" ); document.write( "In this question, you have to use quadratic equations. (Grade 10) \n" ); document.write( "

Algebra.Com's Answer #525567 by mananth(16946) $\"\"$ $\"About$

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using Pythagoras theorem\r
\n" ); document.write( "\n" ); document.write( "one leg be x\r
\n" ); document.write( "\n" ); document.write( "orther leg = x=2\r
\n" ); document.write( "\n" ); document.write( "x^2+(x+2)^2=6^2\r
\n" ); document.write( "\n" ); document.write( "x^2+x^2+4x+4=36\r
\n" ); document.write( "\n" ); document.write( "2x^2+4x+4=36
\n" ); document.write( "2x^2+4x-32=0
\n" ); document.write( "/2
\n" ); document.write( "x^2+2x-16=0\r
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\n" ); document.write( "\n" ); document.write( "Find the roots of the equation by quadratic formula
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\n" ); document.write( "a= 1 , b= 2 , c= -16
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\n" ); document.write( "b^2-4ac= 4 + 64
\n" ); document.write( "b^2-4ac= 68
\n" ); document.write( " $\"%09sqrt%28%0968%09%29=%098.25%09\"$
\n" ); document.write( " $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( " $\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( "x1=( -2 + 8.25 )/ 2
\n" ); document.write( "x1= 3.12
\n" ); document.write( " $\"x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( "x2=( -2 -8.25 ) / 2
\n" ); document.write( "x2= -5.12 \r
\n" ); document.write( "\n" ); document.write( "x= 3.12 OR -5.12 \n" ); document.write( "

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