document.write( "Question 1087991: the inclined ramp use for loading cars in a truck is
\n" ); document.write( " 8m longer than the rise of the ramp. The run is 7m longer than the rise. How long are the three sides of the ramp
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Algebra.Com's Answer #702254 by ankor@dixie-net.com(22740)\"\" \"About 
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the inclined ramp use for loading cars in a truck is 8m longer than the rise of the ramp.
\n" ); document.write( " The run is 7m longer than the rise. How long are the three sides of the ramp
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\n" ); document.write( "let r = the rise of the ramp
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\n" ); document.write( "(r+8) = length of the ramp
\n" ); document.write( "and
\n" ); document.write( "(r+7) = the horizontal run of the ramp
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\n" ); document.write( "We can us pythag
\n" ); document.write( "r^2 + (r+7)^2 = (r+8)^2
\n" ); document.write( "FOIL
\n" ); document.write( "r^2 + r^2 + 14r + 49 = r^2 + 16r + 64
\n" ); document.write( "Combine like terms on the left
\n" ); document.write( "r^2 + r^2 - r^2 + 14r - 16r + 49 - 64 = 0
\n" ); document.write( "r^2 - 2r - 15 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(r-5)(r+3) = 0
\n" ); document.write( "the positive solution is all we want here
\n" ); document.write( "r = 5 ft
\n" ); document.write( "then
\n" ); document.write( "5 + 8 = 13 ft is the length of the ramp
\n" ); document.write( "and
\n" ); document.write( "5 + 7 = 12 ft is the horizontal run of the ramp
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\n" ); document.write( "See if that checks out
\n" ); document.write( "5^2 + 12^2 = 13^2
\n" ); document.write( "25 + 144 = 169 \n" ); document.write( "
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