document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110106>Question 1110106</A>: <I><SPAN STYLE=\"word-break: break-all;\"> AB and CD are two parallel chords of a circle such that AB = 24 cm and CD= 10 cm. If the radius of the circle is 13 cm , find the distance between the chords.<BR>\n" );
document.write( "My solution :-<BR>\n" );
document.write( "Construction draw a circle with radius 13 cm . Mark two parallel chords AB and CD. Join OB it will make a right angle triangle, so by using Pythagoras theorem<BR>\n" );
document.write( "In triangle ONB<BR>\n" );
document.write( "OB^2= ON^2 + NB^2<BR>\n" );
document.write( "13^2=ON^2 + 12^2<BR>\n" );
document.write( "169 - 144 = ON^2<BR>\n" );
document.write( "25 sq root = ON<BR>\n" );
document.write( "5 = ON<BR>\n" );
document.write( "Now in the same way join OD<BR>\n" );
document.write( "In triangle OMD<BR>\n" );
document.write( "OD^2 = OM^2 + MD^2<BR>\n" );
document.write( "13^2 = OM^2 + 5^2<BR>\n" );
document.write( "169-25= OM^2<BR>\n" );
document.write( "144 sq root = OM^2<BR>\n" );
document.write( "12 = OM<BR>\n" );
document.write( "Distance between the chords = 12 + 5<BR>\n" );
document.write( "17 cm<BR>\n" );
document.write( "Experts please check whether my answer is wrong or correct<BR>\n" );
document.write( "And check the solution also. I want to know the exact answer\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #725101 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=725101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Your solution is fine; but it is only one of two possible answers, as suggested in the response by the other tutor.<br><BR>\n" );
document.write( "Radii to the endpoints of the chords, and a diameter perpendicular to the two chords, create right triangles with hypotenuse 13 and legs either 5 or 12 (because the diameter bisects each chord).  Then we know the chord of length 24 is 5 from the center of the circle and the chord of length 10 is 12  from the center.<br><BR>\n" );
document.write( "But your answer assumes the chords are on opposite sides of the center of the circle, making the distance between them 12+5=17.  The two chords could be on the same side of the center, making the distance between them 12-5=7. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );