document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=267116>Question 267116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The shortest side of a triangle is one half the length of the middle side, plus 2 cm.  The longest side of the triangle is one and one-half times the length of the middle side, less 2 cm.  The perimeter of the triangle is 60 cm. How long are each of the sides?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196086 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=196086\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let us suppose that shortest side = x cm, middle side = y cm and longest side = z cm.\r<BR>\n" );
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document.write( "The shortest side of a triangle is one half the length of the middle side, plus 2 cm. This means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281%2F2%29%2Ay+%2B+2 ALIGN=MIDDLE  ALT=\"x+=+%281%2F2%29%2Ay+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > _____ (1)\r<BR>\n" );
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document.write( "The longest side of the triangle is one and one-half times the length of the middle side, less 2 cm. This means, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+%283%2F2%29%2Ay+-+2 ALIGN=MIDDLE  ALT=\"z+=+%283%2F2%29%2Ay+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ______ (2)\r<BR>\n" );
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document.write( "Also given, perimeter = 60 cm i.e. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+%2B+z+=+60 ALIGN=MIDDLE  ALT=\"x+%2B+y+%2B+z+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" > _______ (3)\r<BR>\n" );
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document.write( "Substituting for x and z from (1) and (2) respectively into (3), we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2Ay+%2B+2+%2B+y+%2B+%283%2F2%29%2Ay+-+2+=+60 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2Ay+%2B+2+%2B+y+%2B+%283%2F2%29%2Ay+-+2+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2Ay+%2B+y+%2B+%283%2F2%29%2Ay+=+60 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2Ay+%2B+y+%2B+%283%2F2%29%2Ay+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Ay+=+60 ALIGN=MIDDLE  ALT=\"3%2Ay+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+60%2F3=20 ALIGN=MIDDLE  ALT=\"y=+60%2F3=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281%2F2%29%2A20+%2B+2+=+12 ALIGN=MIDDLE  ALT=\"x+=+%281%2F2%29%2A20+%2B+2+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+%283%2F2%29%2A20+-+2+=+28 ALIGN=MIDDLE  ALT=\"z+=+%283%2F2%29%2A20+-+2+=+28\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The sides of the triangle are: 12 cm, 20 cm and 28 cm. </SPAN>\n" );
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