document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194769>Question 1194769</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pls help me solve this :<BR>\n" );
document.write( "The lengths of the sides of a triangle are consecutive even integers. Find the<BR>\n" );
document.write( "length of the longest side if it is 14 units shorter than the perimeter.<BR>\n" );
document.write( "Pls also include Proving. Thank you!!! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #827031 by </B><A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><B>amarjeeth123(569)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=827031\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We are given that the lengths of the sides of a triangle are consecutive even integers.\r<BR>\n" );
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document.write( "Let the sides of the triangle be x,x+2 and x+4 respectively.\r<BR>\n" );
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document.write( "We are given that the length of the longest side is 14 units shorter than the perimeter.\r<BR>\n" );
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document.write( "The length of the longest side=x+4 units\r<BR>\n" );
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document.write( "The perimeter of the triangle = x+x+2+x+4=3x+6 units\r<BR>\n" );
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document.write( "Plugging in the values we get,\r<BR>\n" );
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document.write( "x+4=3x+6-14<BR>\n" );
document.write( "x+4=3x-8<BR>\n" );
document.write( "x+4+8=3x<BR>\n" );
document.write( "x+12=3x<BR>\n" );
document.write( "3x-x=12<BR>\n" );
document.write( "2x=12<BR>\n" );
document.write( "x=6 units\r<BR>\n" );
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document.write( "The longest side of the triangle is 6+4=10 units\r<BR>\n" );
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document.write( "The lengths of the triangle are 6,8 and 10 units respectively.\r<BR>\n" );
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document.write( "The perimeter of the triangle is 6+8+10=24 units\r<BR>\n" );
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document.write( "10=24-14\r<BR>\n" );
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document.write( "The longest side is 14 units shorter than the perimeter of the triangle.\r<BR>\n" );
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document.write( "Thus, the solution is correct.Hence,proved.\r<BR>\n" );
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document.write( "Hence,the longest side of the triangle is 10 units. </SPAN>\n" );
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