document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=620858>Question 620858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the given triangle. A = 50 degrees, B = 50 degrees, c = 12 meters\r<BR>\n" );
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document.write( "Round your answers to the nearest integer.\r<BR>\n" );
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document.write( "C = ? degrees<BR>\n" );
document.write( "b = ? meters<BR>\n" );
document.write( "c = ? meters\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 #390467 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=390467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--<BR>\n" );
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document.write( "You can solve this problem by using the Angle Sum Theorem for triangles, and the Law of Sines.<BR>\n" );
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document.write( "STEP I: Find the measure of angle C.<BR>\n" );
document.write( "The Angle Sum Theorem states the the sum of the measures of the interior angles of any triangle is 180 degrees.<BR>\n" );
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document.write( "Add the measure of angle A to that of angle B. (50+50=100). Subtract this value from 180. (180-100=80). The measure of angle C is 80 degrees.<BR>\n" );
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document.write( "STEP II: Find the missing side lengths of triangle ABC.<BR>\n" );
document.write( "The Law of Sines states that the follow proportions hold true.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%29%2Fa=sin%28B%29%2Fb=sin%28C%29%2Fc ALIGN=MIDDLE  ALT=\"sin%28A%29%2Fa=sin%28B%29%2Fb=sin%28C%29%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Substitute the values you are given for each value. Solve for a and b to find the missing side lengths. <BR>\n" );
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document.write( "(NOTE: You may have a typo in your problem, since the length  of c is given and the show the problem asking for the length of c. No worries...if the problem is typed incorrectly, follow my method with the correct values.)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%29%2Fa=sin%28B%29%2Fb=sin%28C%29%2Fc ALIGN=MIDDLE  ALT=\"sin%28A%29%2Fa=sin%28B%29%2Fb=sin%28C%29%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2850%29%2Fa=sin%2850%29%2Fb=sin%2880%29%2F12 ALIGN=MIDDLE  ALT=\"sin%2850%29%2Fa=sin%2850%29%2Fb=sin%2880%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Use a calculator to find the dine of each angle.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.766%2Fa=0.766%2Fb=0.985%2F12 ALIGN=MIDDLE  ALT=\"0.766%2Fa=0.766%2Fb=0.985%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "(You can carry this out to more decimal places if you choose to. We know sin(c) and length c, we can reduce this fraction to a decimal. <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.985%2F12=0.082 ALIGN=MIDDLE  ALT=\"0.985%2F12=0.082\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now divide to find side a and side b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=0.766%2F0.082 ALIGN=MIDDLE  ALT=\"a=0.766%2F0.082\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=9.341 ALIGN=MIDDLE  ALT=\"a=9.341\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The side opposite angle A is 9.341 meters. Notice that a=b because angle A=angle B. This is an isosceles triangle, so the side opposite angle b is also 9.341 meters.<BR>\n" );
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document.write( "Hope this helps. Feel free to email if you have questions about the solution.<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com </SPAN>\n" );
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