document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037280>Question 1037280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a triangle has three angles 110, 50 and 20. the longest side is 5 cm longer than the smallest side. Determine the perimeter of the triangle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651966 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651966\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a triangle has three angles 110, 50 and 20. the longest side is 5 cm longer than the smallest side. Determine the perimeter of the triangle<BR>\n" );
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document.write( "The smallest side is opposite the smallest angle.<BR>\n" );
document.write( "x = length of smallest side<BR>\n" );
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document.write( "x/sin(20) = (x+5)/sin(110)<BR>\n" );
document.write( "x*sin(110) = (x+5)*sin(20) = x*sin(20) + 5sin(20)<BR>\n" );
document.write( "x*(sin(110) - sin(20)) = 5sin(20)<BR>\n" );
document.write( "x = 5sin(20)/(sin(110) - sin(20))<BR>\n" );
document.write( "x =~ 2.861267<BR>\n" );
document.write( "Longest side = 7.861267<BR>\n" );
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document.write( "Find the 3rd side.  Call it s:<BR>\n" );
document.write( "x/sin(20) = s/sin(50)<BR>\n" );
document.write( "s = x*sin(50)/sin(20)<BR>\n" );
document.write( "s =~ 6.40856<BR>\n" );
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document.write( "Add those to find the perimeter. </SPAN>\n" );
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