document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209028>Question 1209028</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If two vertices of an equilateral triangle are (0,0) and (0,4), find the third vertex. How many of these triangles are possible?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #847601 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=847601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "I'll provide 3 hints\r<BR>\n" );
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document.write( "Hint #1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-8%2C7%2C-5%2C10%2C%0D%0Agraph%28400%2C400%2C-8%2C7%2C-5%2C10%2C-1000%29%2C%0D%0Acircle%280%2C0%2C4%29%2Ccircle%280%2C4%2C4%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The lower and upper circles have centers (0,0) and (0,4) respectively.<BR>\n" );
document.write( "Both circles have radius 4.\r<BR>\n" );
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document.write( "Hint #2<BR>\n" );
document.write( "The equations of the lower and upper circles are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=16 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28y-4%29%5E2=16 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28y-4%29%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > in that order.\r<BR>\n" );
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document.write( "Hint #3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=16 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > rearranges to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=16-y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2=16-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Plug this into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28y-4%29%5E2=16 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28y-4%29%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you'll get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16-y%5E2%2B%28y-4%29%5E2=16 ALIGN=MIDDLE  ALT=\"16-y%5E2%2B%28y-4%29%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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