document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=756615>Question 756615</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove that the three points A(-5,0) B(3,0) and C(-1, 4&#8730;3) are the vertices of an equilateral triangle\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 #460325 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=460325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q:<BR>\n" );
document.write( "prove that the three points A(-5,0) B(3,0) and C(-1, 4&#8730;3) are the vertices of an equilateral triangle<BR>\n" );
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document.write( "A:<BR>\n" );
document.write( "Using distance formula:<BR>\n" );
document.write( "AB = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%280+-+0%29%5E2+%2B+%283+-+%28-5%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%280+-+0%29%5E2+%2B+%283+-+%28-5%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8<BR>\n" );
document.write( "AC = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%284sqrt%283%29+-+0%29%5E2+%2B+%28-1+-+%28-5%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%284sqrt%283%29+-+0%29%5E2+%2B+%28-1+-+%28-5%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8<BR>\n" );
document.write( "BC = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%284sqrt%283%29+-+0%29%5E2+%2B+%28-1+-+3%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%284sqrt%283%29+-+0%29%5E2+%2B+%28-1+-+3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8<BR>\n" );
document.write( "All three sides are equal, therefore A, B, and C are the vertices of an equilateral triangle. &#9632; </SPAN>\n" );
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