document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191140>Question 1191140</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.)<BR>\n" );
document.write( "b = 69,    c = 35,    ∠A = 72° </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822907 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i get:\r<BR>\n" );
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document.write( "angle A = 72 degrees.<BR>\n" );
document.write( "a = 67.0\r<BR>\n" );
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document.write( "angle B = 78.2 degrees<BR>\n" );
document.write( "b = 69\r<BR>\n" );
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document.write( "angle C = 29.8 degrees<BR>\n" );
document.write( "c = 35\r<BR>\n" );
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document.write( "the sum of the angles is 180 degrees, as it should be.\r<BR>\n" );
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document.write( "the ratio of a / sine(A) = b / sine(B) = c/sine(C) is the same for all 3, as it should be.<BR>\n" );
document.write( "that ratio was 70.482862 for all three.\r<BR>\n" );
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document.write( "the first thing i did was find the value of a using the law of cosines formula of:<BR>\n" );
document.write( "a^2 = b^2 + c^2 - 2*a*b*cos(A).<BR>\n" );
document.write( "the formula became:<BR>\n" );
document.write( "a^2 = 69^2 + 35^2 - 2*69*35*cos(72) = 4493.447917<BR>\n" );
document.write( "a = sqrt(4493.447917) = 67.03318519\r<BR>\n" );
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document.write( "once i got that, i was able to get the other values using the law of sines formula of:<BR>\n" );
document.write( "a/sin(A) = b/sin(B) = c/sin(C)\r<BR>\n" );
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document.write( "a = 67.03318519<BR>\n" );
document.write( "A = 72 degrees.\r<BR>\n" );
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document.write( "i got:<BR>\n" );
document.write( "b = 69<BR>\n" );
document.write( "B = 78.22636413 degrees.\r<BR>\n" );
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document.write( "and i got:<BR>\n" );
document.write( "c = 35<BR>\n" );
document.write( "C = 29.77363587 degrees.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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