document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152220>Question 1152220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three circles, A, B, and C on a straight line.<BR>\n" );
document.write( "Radius of circle A is 4cm<BR>\n" );
document.write( "Radius of circle B is 8 cm<BR>\n" );
document.write( "Radius of circle C is 4 cm<BR>\n" );
document.write( "Work out the length of the line X in cm which stretches from the edge of circle A on the left to the edge of circle C on the right. Give your answer in the form:<BR>\n" );
document.write( "a+bsqrt(2)\r<BR>\n" );
document.write( "\n" );
document.write( "000 Circles ABC<BR>\n" );
document.write( "___ Xcm\r<BR>\n" );
document.write( "\n" );
document.write( "Many thanks<BR>\n" );
document.write( "Joseph </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774199 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three circles, A, B, and C on a straight line.<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "If you mean:<BR>\n" );
document.write( "Three circles, A, B, and C are tangent to a straight line and each other.<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Radius of circle A is 4 cm<BR>\n" );
document.write( "Radius of circle B is 8 cm<BR>\n" );
document.write( "Radius of circle C is 4 cm<BR>\n" );
document.write( "Work out the length of the line X in cm which stretches from the edge of circle A on the left to the edge of circle C on the right.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "The \"edge of a circle\" is nonsensical.<BR>\n" );
document.write( "Line X is not shown or defined.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "It's the distance between the centers of circles A & C.<BR>\n" );
document.write( "Draw the circles tangent to the x-axis.<BR>\n" );
document.write( "Label the centers A, B & C<BR>\n" );
document.write( "AB = BC = 12 cm<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "The distance from B to line AC is 4 cm<BR>\n" );
document.write( "The distance from A to the midpoint on AC sqrt(12^2 - 4^2) = sqrt(128)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC+=+2%2Asqrt%28128%29+=+16sqrt%282%29 ALIGN=MIDDLE  ALT=\"AC+=+2%2Asqrt%28128%29+=+16sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );