document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196713>Question 196713</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780495553458/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Tom's uncle owns a triangular piece of land. the perimeter feance that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. the second longest side is 2 yards shorter than the longest side. What is 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 #147443 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=147443\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tom's uncle owns a triangular piece of land. the perimeter fence that surrounds<BR>\n" );
document.write( " the land measures 378 yards. <BR>\n" );
document.write( "The shortest side is 30 yards longer than one-half of the longest side. <BR>\n" );
document.write( "the second longest side is 2 yards shorter than the longest side. <BR>\n" );
document.write( "What is the length of each side?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the 3 sides be, a, b, c, with a being the longest side<BR>\n" );
document.write( ";<BR>\n" );
document.write( "The perimeter equation:<BR>\n" );
document.write( "a + b + c = 378<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each statement:<BR>\n" );
document.write( "\"The shortest side is 30 yards longer than one-half of the longest side.\"<BR>\n" );
document.write( "c = .5a + 30<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"the second longest side is 2 yards shorter than the longest side.\"<BR>\n" );
document.write( "b = a - 2<BR>\n" );
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document.write( "Substitute these for b & c in the perimeter equation<BR>\n" );
document.write( "a + (a-2) + (.5a + 30) = 378<BR>\n" );
document.write( "a + a + .5a - 2 + 30 = 378<BR>\n" );
document.write( "2.5a + 28 = 378<BR>\n" );
document.write( "2.5a = 378 - 28<BR>\n" );
document.write( "2.5a = 350<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350%2F2.5 ALIGN=MIDDLE  ALT=\"350%2F2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 140 yds is the longest side<BR>\n" );
document.write( "then<BR>\n" );
document.write( "b = 140 - 2<BR>\n" );
document.write( "b = 138 yds<BR>\n" );
document.write( "and<BR>\n" );
document.write( "c = .5(140) + 30<BR>\n" );
document.write( "c = 100 yds<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution, find the perimeter<BR>\n" );
document.write( "140 + 138 + 100 = 378 </SPAN>\n" );
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