document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67902>Question 67902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I have a question that I'm having trouble with. I started to work on it but I'm not too sure if I'm supposed to take the perpendicular bisector or not. Here's the question:\r<BR>\n" );
document.write( "\n" );
document.write( "A chord \"AB\" is 9cm from the center of the circle. The circle has a radius of 15cm. What is the length of \"AB\"?\r<BR>\n" );
document.write( "\n" );
document.write( "If you could help me out, that would be great! <BR>\n" );
document.write( "Thanks!<BR>\n" );
document.write( "Ryan Desmond </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48289 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=48289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A chord \"AB\" is 9cm from the center of the circle. The circle has a radius of 15cm. What is the length of \"AB\"?<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Draw the picture including the line segment to the chord.<BR>\n" );
document.write( "That line segment is the perdicular bisector of the chord.<BR>\n" );
document.write( "Call it's length \"x\".<BR>\n" );
document.write( "Draw radii from the center to A and from the center to B.<BR>\n" );
document.write( "You have a right triangle with hyp=15 and perp bisec = 9<BR>\n" );
document.write( "The 3rd side = sqrt(15^2-9^2)=sqrt(225-81)=sqrt(144)=12<BR>\n" );
document.write( "That 3rd side is half the length of the chord.<BR>\n" );
document.write( "The length of the chord is 24.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );