document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077542>Question 1077542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me find the sides of a, b, and c of the triangle that is a = 4 , b = 8, c = 10<BR>\n" );
document.write( "So far I have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E2+%2B+4%5E2+-2+%2A4%2Acos%28c%29=5%5E2+ ALIGN=MIDDLE  ALT=\"+2%5E2+%2B+4%5E2+-2+%2A4%2Acos%28c%29=5%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-16cos%28c%29=25-4-16+ ALIGN=MIDDLE  ALT=\"+-16cos%28c%29=25-4-16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-16cos%28c%29=5+ ALIGN=MIDDLE  ALT=\"+-16cos%28c%29=5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%28c%29+=+-5%2F16+ ALIGN=MIDDLE  ALT=\"+cos%28c%29+=+-5%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+180-71.79+ ALIGN=MIDDLE  ALT=\"+c+=+180-71.79+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+108.21+%2A+degrees+ ALIGN=MIDDLE  ALT=\"+c+=+108.21+%2A+degrees+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692008 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=692008\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> c^2=a^2+b^2-2ab cos C<BR>\n" );
document.write( "10^2=4^2+8^2-2(32) cos C<BR>\n" );
document.write( "100=80-64 cos C<BR>\n" );
document.write( "20=-64 cos C<BR>\n" );
document.write( "-5/16=cos C, as you got, which is 108.21 deg.<BR>\n" );
document.write( "Now use Law of Sines<BR>\n" );
document.write( "4/sin A=10/sin 108.21=10.527<BR>\n" );
document.write( "sin A=4/10.527=22.33 degrees<BR>\n" );
document.write( "B should be 49.46 deg<BR>\n" );
document.write( "8/sin B=10.527; sin B=8/10.527=0.7600, which it is.<BR>\n" );
document.write( "A=22.33 deg<BR>\n" );
document.write( "B=49.46 deg<BR>\n" );
document.write( "C=108.21 deg </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );