document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933144>Question 933144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> draw a large circle and a point k on not on the circle ,using k as one vertex ,construct a triangle that is circumscribe about a circle.? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566648 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=566648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
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document.write( "for constructions use only compass, straightedge (i.e. ruler) and a pencil\r<BR>\n" );
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document.write( "2. draw a large circle and a point <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > on not on the circle\r<BR>\n" );
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document.write( "since you need to construct a triangle that is circumscribe <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=about ALIGN=MIDDLE  ALT=\"about\"   DISABLED_style= \"max-width:90%; height:auto;\" > a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=circle ALIGN=MIDDLE  ALT=\"circle\"   DISABLED_style= \"max-width:90%; height:auto;\" >, means all three sides will touch a circle in one point; so, the sides of a triangle are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tangents ALIGN=MIDDLE  ALT=\"tangents\"   DISABLED_style= \"max-width:90%; height:auto;\" > to a circle\r<BR>\n" );
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document.write( "and, use the fact that a tangent to a circle is perpendicular to the radius at the point of contact <BR>\n" );
document.write( "so, first create a radius of the circle, then construct a perpendicular to the radius at the given point <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "how to construct it, step-by-step description is here:\r<BR>\n" );
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document.write( "http://www.mathopenref.com/printtangent.html\r<BR>\n" );
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document.write( "now, you got one perpendicular line, and you need second and third one:\r<BR>\n" );
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document.write( "choose another two points on a circle, repeat all procedure and construct second and third tangent, mark points of their intersection as, for example, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you will have a triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABC ALIGN=MIDDLE  ALT=\"ABC\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the given point <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be on one of its sides\r<BR>\n" );
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document.write( "  \r<BR>\n" );
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document.write( "find the point where both tangents intersect; that will be  </SPAN>\n" );
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