document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193132>Question 1193132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.The sum of the sides of the triangle ABC is equal to 400 m. A = 38°, B = 58°. Find the side AC </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825145 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The law of sines says<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fsin%28A%29=b%2Fsin%28B%29=c%2Fsin%28C%29 ALIGN=MIDDLE  ALT=\"a%2Fsin%28A%29=b%2Fsin%28B%29=c%2Fsin%28C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "In words, that says that the ratio of the lengths of the 3 sides of the triangle is the same as the ratio of the sines of the 3 angles.<br><BR>\n" );
document.write( "So find the lengths of the sides by dividing the perimeter into three parts in the ratio of the sines of the three angles.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2838%29=0.61566 ALIGN=MIDDLE  ALT=\"sin%2838%29=0.61566\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2858%29=0.84805 ALIGN=MIDDLE  ALT=\"sin%2858%29=0.84805\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2884%29=0.99452 ALIGN=MIDDLE  ALT=\"sin%2884%29=0.99452\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2838%29%2Bsin%2858%29%2Bsin%2884%29=2.45823 ALIGN=MIDDLE  ALT=\"sin%2838%29%2Bsin%2858%29%2Bsin%2884%29=2.45823\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400%2F2.45823=162.72 ALIGN=MIDDLE  ALT=\"400%2F2.45823=162.72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The side lengths are<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=162.72%2Asin%2838%29=100.18 ALIGN=MIDDLE  ALT=\"162.72%2Asin%2838%29=100.18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=162.72%2Asin%2858%29=137.99 ALIGN=MIDDLE  ALT=\"162.72%2Asin%2858%29=137.99\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=162.72%2Asin%2884%29=161.83 ALIGN=MIDDLE  ALT=\"162.72%2Asin%2884%29=161.83\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100.18%2B137.99%2B161.83=400.00 ALIGN=MIDDLE  ALT=\"100.18%2B137.99%2B161.83=400.00\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "AC is the side opposite angle B, which is the side of middle length, so<br><BR>\n" );
document.write( "ANSWER: AC = 138 (rounded)<br><BR>\n" );
document.write( " </SPAN>\n" );
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