document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=270444>Question 270444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve triangelABC if A=24 degrees,B=62 degrees,and a= 21.4 (law of Sines </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198145 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=198145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Now there is an interesting metaphysical phenomenon -- a triangel.  One wonders how many triangels can dance on the head of a pin.  Is it one third the number of regular angels?\r<BR>\n" );
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document.write( "But, taking a wild guess and presuming you really meant tri<b><i>angle</i></b> ABC, let us proceed.\r<BR>\n" );
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document.write( "<b><i>Law of Sines</i></b>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{a}{\sin{A}}\ =\ \frac{b}{\sin{B}}\  =\ \frac{c}{\sin{C}}\">\r<BR>\n" );
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document.write( "We know angle A and angle B, so we can calculate angle C by remembering that the sum of the interior angles of a triangle is 180 degrees, hence:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ C\ =\ 180\ -\ \left(24\ +\ 62\right)\">\r<BR>\n" );
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document.write( "And we know the measure of side a, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{21.4}{\sin{24}}\ =\ \frac{b}{\sin{62}}\  =\ \frac{c}{\sin{94}}\">\r<BR>\n" );
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document.write( "The rest is just punching calculator buttons.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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