document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=939107>Question 939107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether it is possible to draw a triangle<BR>\n" );
document.write( "given each set of information. Sketch all possible<BR>\n" );
document.write( "triangles where appropriate. Calculate, then label, all<BR>\n" );
document.write( "side lengths to the nearest tenth of a centimetre and<BR>\n" );
document.write( "all angles to the nearest degree.\r<BR>\n" );
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document.write( "a)b=3.0cm, c=5.5cm, Angle B=30°\r<BR>\n" );
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document.write( "b) b=12.2cm, c=8.2cm, AngleC=34°\r<BR>\n" );
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document.write( "c) a=11.1cm, c=5.2cm, AngleC=33°\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #572275 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=572275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine whether it is possible to draw a triangle<BR>\n" );
document.write( " given each set of information. Sketch all possible<BR>\n" );
document.write( " triangles where appropriate. Calculate, then label, all<BR>\n" );
document.write( " side lengths to the nearest tenth of a centimetre and<BR>\n" );
document.write( " all angles to the nearest degree. <BR>\n" );
document.write( "a)b=3.0cm, c=5.5cm, Angle B=30°<BR>\n" );
document.write( "Use the Law of Sines<BR>\n" );
document.write( "Sin(C)/5.5 = sin(30)/3<BR>\n" );
document.write( "sin(C) = 5.5[(1/2/3) = 5.5(1/6) = 0.91667<BR>\n" );
document.write( "C = arcsin(0.91667) = 66.44 degrees or 180-66.44 = 113.56<BR>\n" );
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document.write( "If C = 66.44, A = 180-(30+66.44) = 93.56<BR>\n" );
document.write( "Then a = sin(A)[b/sin(30)] = 1.50<BR>\n" );
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document.write( "If C = 113.56, A = 180-(30+113.56) = 36.44<BR>\n" );
document.write( "Then a = sin(A)[b/sin(30)] = 3.56<BR>\n" );
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document.write( "b) b=12.2cm, c=8.2cm, AngleC=34°<BR>\n" );
document.write( "Use the Law of Sines<BR>\n" );
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document.write( "c) a=11.1cm, c=5.2cm, AngleC=33°<BR>\n" );
document.write( "Use the Law of Sines<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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