document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126587>Question 1126587</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all solutions to the following triangle. (Round your answers to one decimal place. If either triangle is not possible, enter NONE in each corresponding answer blank.)<BR>\n" );
document.write( "C = 78.4°, c = 52.3 km, b = 92.6 km<BR>\n" );
document.write( "First triangle (assume B &#8804; 90°):<BR>\n" );
document.write( "A= 	          °<BR>\n" );
document.write( "B= 	          °<BR>\n" );
document.write( "a= 	          km\r<BR>\n" );
document.write( "\n" );
document.write( "Second triangle (assume B' > 90°):<BR>\n" );
document.write( "A'= 	          °<BR>\n" );
document.write( "B'= 	          °<BR>\n" );
document.write( "a'= 	          km<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742931 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=742931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "With the given measurements being angle C and sides b and c, make CB the horizontal base of the triangle, with C at the left; side b is then slanting up to the right from C.<br><BR>\n" );
document.write( "Then the question is whether side c is long enough to reach the base CB.<br><BR>\n" );
document.write( "The altitude of the triangle is b*sin(C):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=92.6%2Asin%2878.4%29+=+90.7 ALIGN=MIDDLE  ALT=\"92.6%2Asin%2878.4%29+=+90.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Side c is far too short to reach the base; there are no triangles for this set of measurements. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );