document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1078122>Question 1078122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a Proving question for Analytical Geometry. \r<BR>\n" );
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document.write( "Prove analytically that the vertex and the midpoints of the three sides of an isosceles triangle are the vertices of a rhombus. \r<BR>\n" );
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document.write( "Thank you for taking your time to answer.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692738 by </B><A HREF=/tutors/aboutme.mpl?userid=rapture><B>rapture(86)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapture><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=rapture><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=692738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Try setting the diagram up so that the base is on the x-axis with the left vertex (0,0). Call the right vertex (4a, 0). \r<BR>\n" );
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document.write( "Then make the top vertex (which is the vertex of the triangle as well) (2a, 2b). \r<BR>\n" );
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document.write( "Then the midpoints are: bottom (2a, 0), left side (a, b) and right side (3a, b). \r<BR>\n" );
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document.write( "Draw in the quadrilateral. \r<BR>\n" );
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document.write( "Lastly, show that all 4 sides are of the same length by using distance formula. </SPAN>\n" );
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