document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=222828>Question 222828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a triangle is 51 cm. The lengths of its sides are consecutive odd integers. Find the lengths of all 3 sides. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166738 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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/cgi-bin/show-face.mpl?user=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=166738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a triangle is 51 cm. The lengths of its sides are consecutive odd integers. Find the lengths of all 3 sides.\r<BR>\n" );
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document.write( "Step 1.  Perimeter P means adding up all three sides.\r<BR>\n" );
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document.write( "Step 2.  Let n be an odd integer.\r<BR>\n" );
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document.write( "Step 3.  Let n+2 and n+4 be the next two consecutive odd integers.\r<BR>\n" );
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document.write( "Step 4.  Then P=n+n+2+n+4=51.\r<BR>\n" );
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document.write( "Step 5.  Solving the equation Step 4 yields the following steps\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n%2B6=51 ALIGN=MIDDLE  ALT=\"3n%2B6=51\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 6 from both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n%2B6-6=51-6 ALIGN=MIDDLE  ALT=\"3n%2B6-6=51-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n=45 ALIGN=MIDDLE  ALT=\"3n=45\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide 45 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n%2F3=45%2F3 ALIGN=MIDDLE  ALT=\"3n%2F3=45%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=15 ALIGN=MIDDLE  ALT=\"n=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B2=17 ALIGN=MIDDLE  ALT=\"n%2B2=17\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B4=19 ALIGN=MIDDLE  ALT=\"n%2B4=19\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Also, P=15+17+19=51 which is a true statement.\r<BR>\n" );
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document.write( "Step 6.  ANSWER:  The lengths of the sides are 15 cm , 17 cm and 19 cm.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J </SPAN>\n" );
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