document.write( "Question 1128547: Note that a^2 + b^2 = c^2\r
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\n" ); document.write( "\n" ); document.write( "To work under a car, a mechanic drives it up, using a steel ramp. Find the length of each side of the ramp.\r
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\n" ); document.write( "\n" ); document.write( "a= x ft
\n" ); document.write( "b= (x+1) ft
\n" ); document.write( "c= (x+2) ft
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Algebra.Com's Answer #745027 by MathLover1(20855)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Note that \"a%5E2+%2B+b%5E2+=+c%5E2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"a=+x\" ft
\n" ); document.write( "\"b=+%28x%2B1%29\" ft
\n" ); document.write( "\"c=+%28x%2B2%29\" ft\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+%28x%2B1%29%5E2+=+%28x%2B2%29%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+x%5E2%2B2x%2B1+=+x%5E2%2B4x%2B4+\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+cross%28x%5E2%29%2B2x%2B1+-cross%28x%5E2%29-4x-4=0+\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+-2x-3=0+\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2Bx+-3x-3=0+\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2Bx%29+-%283x%2B3%29=0+\"\r
\n" ); document.write( "\n" ); document.write( "\"x%28x%2B1%29+-3%28x%2B1%29=0+\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x+-3%29%28x%2B1%29=0+\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x+-3%29=0+\"->\"x=3\"-> we need only positive solution (the length)\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29=0+\"->\"x=-1\"\r
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\n" ); document.write( "\n" ); document.write( "\"a=3\" ft
\n" ); document.write( "\"b=+%28x%2B1%29=4\" ft
\n" ); document.write( "\"c=+%28x%2B2%29=5\" ft\r
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