document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076712>Question 1076712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please show me how to solve the triangle of B = 130°, c = 10.1, b = 5.2         <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #691350 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=691350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> That is an impossible triangle.<BR>\n" );
document.write( "Maybe there is a typo.<BR>\n" );
document.write( "Otherwise, you are expected to say that the triangle is impossible.<BR>\n" );
document.write( "You know that in any triangle,<BR>\n" );
document.write( "a longer side is opposite a larger angle.<BR>\n" );
document.write( "In the problem you posted, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%3Eb ALIGN=MIDDLE  ALT=\"c%3Eb\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so for the angles, it should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%3EB ALIGN=MIDDLE  ALT=\"C%3EB\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=130%5Eo ALIGN=MIDDLE  ALT=\"B=130%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so the triangle cannot have another larger angle.<BR>\n" );
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document.write( "IN GENERAL:<BR>\n" );
document.write( "When a triangle is not a right triangle, you can use<BR>\n" );
document.write( "Law of sines (easier if applicable) or<BR>\n" );
document.write( "Law of cosines.<BR>\n" );
document.write( "You know that in a triangle<BR>\n" );
document.write( "the largest angle is the one opposite the longest side.<BR>\n" );
document.write( "Law of done goes further and tells you that<BR>\n" );
document.write( "the sine of an angle is proportional to the length of the opposite side.<BR>\n" );
document.write( "As a formula, you can write it as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%29%2Fa=sin%28B%29%2Fb=sin%28C%29%2Fc ALIGN=MIDDLE  ALT=\"sin%28A%29%2Fa=sin%28B%29%2Fb=sin%28C%29%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <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>\n" );
document.write( "If you have the measure of one angle (such as C),<BR>\n" );
document.write( "and the length of the opposite side (such as c),<BR>\n" );
document.write( "along with one other measurement of the triangle (such as b),<BR>\n" );
document.write( "you can use Law of sines.<BR>\n" );
document.write( "In that case,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28C%29%2Fc=sin%28B%29%2Fb ALIGN=MIDDLE  ALT=\"sin%28C%29%2Fc=sin%28B%29%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "would allow you to calculate the approximate value for<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28C%29=c%2Ason%28B%29%2Fb ALIGN=MIDDLE  ALT=\"sin%28C%29=c%2Ason%28B%29%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "In general, the value for the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28C%29 ALIGN=MIDDLE  ALT=\"sin%28C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > you found<BR>\n" );
document.write( "could correspond to an acute angle,<BR>\n" );
document.write( "or to the supplementary obtuse angle.<BR>\n" );
document.write( "There are some cases where the answers would be two triangles.<BR>\n" );
document.write( "However, there can be at most one obtuse angle. </SPAN>\n" );
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