document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172285>Question 172285</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have two questions.<BR>\n" );
document.write( "1.  Should the traingle be solved with Law of Sines or Laws of Cosines.  Then solve the trangle and round to the nearest tenth.  a=16, b=13, c=10<BR>\n" );
document.write( "2.  Should the triangle be solved beggining with Law of Sines or Laws of Cosines.  Then solve the triangle and round to the nearest tenth.  A=56 degrees, B=38 degrees, a-13.<BR>\n" );
document.write( "Can some one please show me step by step how to do this.  I have a test on it tonight and have to show my work.<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127279 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=127279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have two questions.<BR>\n" );
document.write( "1. Should the traingle be solved with Law of Sines or Laws of Cosines. Then solve the trangle and round to the nearest tenth. a=16, b=13, c=10<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Since no angles are known, you have to use the law of cosines to find the first angle.  Then you can use either to find the 2nd angle.<BR>\n" );
document.write( "For angle A (opposite side a):<BR>\n" );
document.write( "a^ = b^2 + c^2 - 2bc*cos(A)<BR>\n" );
document.write( "256 = 169 + 100 - 260cos(A)<BR>\n" );
document.write( "cos(A) = 13/260<BR>\n" );
document.write( "A = 87.134º<BR>\n" );
document.write( "The law so sines is quicker, so I'd use that for the other 2 angles.<BR>\n" );
document.write( "sin(A)/a = sin(B)/b = sin(C)/c = 0.0624218<BR>\n" );
document.write( "B = 54.24115º<BR>\n" );
document.write( "C = 38.6248º<BR>\n" );
document.write( "As a check, they add to 180º<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "2. Should the triangle be solved beggining with Law of Sines or Laws of Cosines. Then solve the triangle and round to the nearest tenth. A=56 degrees, B=38 degrees, a-13.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "2 angles are given, so the 3rd is 180-(56+38).  C = 86.<BR>\n" );
document.write( "Law of Sines is the only choice.<BR>\n" );
document.write( "a/sin(56) = b/sin(38) = c/sin(86<BR>\n" );
document.write( "13/sin(56) = 15.6808333 <BR>\n" );
document.write( "b = sin(38)*15.68... = 9.654<BR>\n" );
document.write( "c = sin(86)*15.68... = 15.6426<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Can some one please show me step by step how to do this. I have a test on it tonight and have to show my work.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );