document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025094>Question 1025094</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangular parcel of land with points M,K,L was to be fenced.No data for the lengths of sides MK and KL are available as shown in the figure below. (the link-the picture.) ---> https://www.pinterest.com/pin/467741111280793052/\r<BR>\n" );
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document.write( "(if you cannot click the illustration/picture,pleae copy+paste it.thanks~)<BR>\n" );
document.write( "please I really need help. :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #640395 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=640395\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> not sure what they are asking as the picture doesn't show that.<BR>\n" );
document.write( "what i see, however, indicates that you would use the law of sines to find the lengths of the corresponding sides.\r<BR>\n" );
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document.write( "your triangle is MKL\r<BR>\n" );
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document.write( "you are given that:\r<BR>\n" );
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document.write( "angle M is 83 degrees.<BR>\n" );
document.write( "angle K is 52 degrees\r<BR>\n" );
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document.write( "since the sum of the angles of a triangle is equal to 180 degrees, then you can determine that angle L is equal to 180 - 84 - 52 = 45 degrees.\r<BR>\n" );
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document.write( "you are given that side ML is equal to 150.\r<BR>\n" );
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document.write( "you would use the law of sines to determine the length of the other sides.\r<BR>\n" );
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document.write( "the law of sines says that the sine of the angle divided by its opposite side is the same for all angles and sides of the triangle.\r<BR>\n" );
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document.write( "this means that:\r<BR>\n" );
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document.write( "sine of angle M / KL is equal to sine of angle K / ML is equal to sine of angle L / MK\r<BR>\n" );
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document.write( "you know that the opposite side to angle K is side ML.\r<BR>\n" );
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document.write( "you have determined all the angles.\r<BR>\n" );
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document.write( "from that, you get the following equations.\r<BR>\n" );
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document.write( "sine(M) / KL = sine(K) / 150 = sine(L) / MK\r<BR>\n" );
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document.write( "replace the angles with their measures and you get:\r<BR>\n" );
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document.write( "sine(52) / KL = sine(84) / 150 = sine(45) / MK\r<BR>\n" );
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document.write( "solve each equation separately.\r<BR>\n" );
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document.write( "start with:\r<BR>\n" );
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document.write( "sine(52) / KL = sine(84) / 150.\r<BR>\n" );
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document.write( "solve for KL to get KL = (sine(52) * 150) / sine(84).\r<BR>\n" );
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document.write( "you will get KL = 119.09\r<BR>\n" );
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document.write( "continue with:\r<BR>\n" );
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document.write( "sine(83) / 150 = sine(45) / MK\r<BR>\n" );
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document.write( "solve for MK to get MK = (sine(45) * 150) / sine(83)\r<BR>\n" );
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document.write( "you will get MK = 106.87\r<BR>\n" );
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document.write( "you now have the length of all the sides.\r<BR>\n" );
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document.write( "the perimeter of the triangle is the sum of the lengths.\r<BR>\n" );
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document.write( "the length are 150 + 119.09 + 106.87\r<BR>\n" );
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document.write( "the perimeter is therefore equal to 375.96.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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