document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1102972>Question 1102972</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In triangle KLM, if &#8736;K &#8773; &#8736;L , KL = 9x – 40, LM = 7x – 37, and KM = 3x + 23, find x and the<BR>\n" );
document.write( "measure of each side.<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 #717687 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=717687\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> triangle KLM is an isosceles triangle with angle K congruent to angle L.\r<BR>\n" );
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document.write( "therefore, the sides opposite these angles are congruent.\r<BR>\n" );
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document.write( "side KM is opposite angle L.<BR>\n" );
document.write( "side ML is opposite angle K\r<BR>\n" );
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document.write( "therefore, side KM is congruent to side ML.\r<BR>\n" );
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document.write( "the length of side KM is equal to 3x + 23<BR>\n" );
document.write( "the length of side ML is equal to 7x - 37\r<BR>\n" );
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document.write( "therefore, 3x + 23 = 7x - 37\r<BR>\n" );
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document.write( "solve for x to get x = 15\r<BR>\n" );
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document.write( "3x + 23 = 3*15 + 23 = 68 = length of KM.<BR>\n" );
document.write( "7x - 37 = 7*15 - 37 = 68 = length of ML.\r<BR>\n" );
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document.write( "9x -40 = 9*15 - 40 = 95 = length of KL.\r<BR>\n" );
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document.write( "your solution is that x = 15 and the length of each side is 68 for the two congruent sides and 95 for the side opposite the vertex of the isosceles triangle.\r<BR>\n" );
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document.write( "here's some basic information regarding isosceles triangles plus other types.\r<BR>\n" );
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