document.write( "Question 173891: The lengths of the sides of a triangle are consecutive even integers. Find the longest side is it is 22 units shorter than the perimeter. \n" ); document.write( "
Algebra.Com's Answer #128776 by ankor@dixie-net.com(22740)\"\" \"About 
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The lengths of the sides of a triangle are consecutive even integers. Find the longest side if it is 22 units shorter than the perimeter.
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\n" ); document.write( "Let the three sides be: x, (x+2), (x+4)
\n" ); document.write( "then the perimeter:
\n" ); document.write( "p = x + (x+2) + (x+4)
\n" ); document.write( "p = 3x + 6
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\n" ); document.write( "\"Find the longest side is it is 22 units shorter than the perimeter.\"
\n" ); document.write( "(3x+6 - (x+4) = 22
\n" ); document.write( "3x + 6 - x - 4 = 22
\n" ); document.write( "2x + 2 = 22
\n" ); document.write( "2x = 22 - 2
\n" ); document.write( "2x = 20
\n" ); document.write( "x = 10, the shortest side
\n" ); document.write( "then
\n" ); document.write( "10 + 4 = 14 units is the longest side
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\n" ); document.write( "Check solution
\n" ); document.write( "Perimeter - longest side =
\n" ); document.write( "(10+12+14) - 14 = 22
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