document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=764570>Question 764570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the triangle<BR>\n" );
document.write( "a=5, b=12, c=10\r<BR>\n" );
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document.write( "What degrees is A, B and C? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #465514 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=465514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the triangle<BR>\n" );
document.write( "a=5, b=12, c=10 <BR>\n" );
document.write( "What degrees is A, B and C?<BR>\n" );
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document.write( "Law of Cosines:<BR>\n" );
document.write( "a^2 = b^2+c^2-2bcCos(A)<BR>\n" );
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document.write( "Cos(A) = (b^2 + c^2 - a^2)/2bc<BR>\n" );
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document.write( "Cos(A) = (12^2+10^2-5^2)/(2*12*10) = 0.9125<BR>\n" );
document.write( "===<BR>\n" );
document.write( "A = cos^-1(0.9125) = 24.15 degrees<BR>\n" );
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document.write( "Now use Law of Sines to find B:<BR>\n" );
document.write( "sin(B)/b = sin(A)/a<BR>\n" );
document.write( "---<BR>\n" );
document.write( "sin(B) = (12/5)sin(24.15) = 0.9819<BR>\n" );
document.write( "B = 79.08 degrees<BR>\n" );
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document.write( "Then, C = 180-(24.15+79.08) = 76.77 degrees<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============================ </SPAN>\n" );
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