document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=338833>Question 338833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The first side of a triangle is 7 cm shorter than twice the second side. The third side is 4 cm longer than the first side. The perimeter is 80 cm. Find the length of each side. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #242899 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=242899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let a, b, c = lengths of the 1st, 2nd and 3rd sides respectively<BR>\n" );
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document.write( "Write an equation for each statement, put in terms of a:<BR>\n" );
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document.write( "\"The first side of a triangle is 7 cm shorter than twice the second side.\"<BR>\n" );
document.write( "a = 2b - 7<BR>\n" );
document.write( "2b = a + 7<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2B7%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%28a%2B7%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "\"The third side is 4 cm longer than the first side.\"<BR>\n" );
document.write( "c = a + 4<BR>\n" );
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document.write( "The perimeter is 80 cm.<BR>\n" );
document.write( "a + b + c = 80<BR>\n" );
document.write( "Replace b & c using the above equations<BR>\n" );
document.write( "a + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2B7%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%28a%2B7%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + (a+4) = 80<BR>\n" );
document.write( "get rid of that annoying fraction, multiply by 2, results<BR>\n" );
document.write( "2a + (a+7) + 2(a+4) = 2(80)<BR>\n" );
document.write( "2a + a + 7 + 2a + 8 = 160<BR>\n" );
document.write( "5a + 15 = 160<BR>\n" );
document.write( "5a = 160 - 15<BR>\n" );
document.write( "5a = 145<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=145%2F5 ALIGN=MIDDLE  ALT=\"145%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 29 is side a<BR>\n" );
document.write( "then<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2829%2B7%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%2829%2B7%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2836%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%2836%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 18 is side b<BR>\n" );
document.write( "and<BR>\n" );
document.write( "c = 29 + 4<BR>\n" );
document.write( "c = 33 is side c<BR>\n" );
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document.write( "See if those add up to 80<BR>\n" );
document.write( "29 + 18 + 33  = 80\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );