document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=942828>Question 942828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the SMALLEST circle tangent to the line<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2Bsqrt%28+3+%29y-2sqrt%28+3+%29+=+0+ ALIGN=MIDDLE  ALT=\"+x%2Bsqrt%28+3+%29y-2sqrt%28+3+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the coordinate axes. \r<BR>\n" );
document.write( "\n" );
document.write( "Please help me solve this problem. Best regards!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #574861 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=574861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Smallest? There's only one solution.<BR>\n" );
document.write( "Use the x and y intercepts. <BR>\n" );
document.write( "They form a right triangle with a circle inscribed in that right triangle.<BR>\n" );
document.write( "x-intercept : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2sqrt%283%29=0 ALIGN=MIDDLE  ALT=\"x-2sqrt%283%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2sqrt%283%29 ALIGN=MIDDLE  ALT=\"x=2sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y-intercept : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29y-2sqrt%283%29=0 ALIGN=MIDDLE  ALT=\"sqrt%283%29y-2sqrt%283%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So you have a right triangle triangle with one leg, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%283%29 ALIGN=MIDDLE  ALT=\"2sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and another leg, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "Find the hypotenuse using the Pythagorean theorem,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282sqrt%283%29%29%5E2%2B2%5E2=H%5E2 ALIGN=MIDDLE  ALT=\"%282sqrt%283%29%29%5E2%2B2%5E2=H%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2B4=H%5E2 ALIGN=MIDDLE  ALT=\"12%2B4=H%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5E2=16 ALIGN=MIDDLE  ALT=\"H%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=4 ALIGN=MIDDLE  ALT=\"H=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For an inscribed circle in a right triangle,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=%28A%2BB-H%29%2F2 ALIGN=MIDDLE  ALT=\"R=%28A%2BB-H%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=%282sqrt%283%29%2B2-4%29%2F2 ALIGN=MIDDLE  ALT=\"R=%282sqrt%283%29%2B2-4%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=sqrt%283%29%2B1-2 ALIGN=MIDDLE  ALT=\"R=sqrt%283%29%2B1-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=sqrt%283%29-1 ALIGN=MIDDLE  ALT=\"R=sqrt%283%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the equation of the circle is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-%28sqrt%283%29-1%29%29%5E2%2B%28y-%28sqrt%283%29-1%29%29%5E2=%28sqrt%283%29-1%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-%28sqrt%283%29-1%29%29%5E2%2B%28y-%28sqrt%283%29-1%29%29%5E2=%28sqrt%283%29-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-sqrt%283%29%2B1%29%5E2%2B%28y-sqrt%283%29%2B1%29%5E2=4-2sqrt%283%29 ALIGN=MIDDLE  ALT=\"%28x-sqrt%283%29%2B1%29%5E2%2B%28y-sqrt%283%29%2B1%29%5E2=4-2sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );