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" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #725098 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=725098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can make a sketched graph for this circle, center at the point (0,0). \r<BR>\n" );
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document.write( "If you make AB and CD segments (chords) perpendicular to y-axis and for convenience, above the x-axis, then you can identify  two points on the circle and you know x coordinates but you can find the y-coordinates.\r<BR>\n" );
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document.write( "You can start the circle's equation as  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=13%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Half of AB is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F2=12 ALIGN=MIDDLE  ALT=\"24%2F2=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > so here, x=12.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=169 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=169\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=169-x%5E2 ALIGN=MIDDLE  ALT=\"y%5E2=169-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%28169-x%5E2 ALIGN=MIDDLE  ALT=\"y=sqrt%28169-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%28169-144%29 ALIGN=MIDDLE  ALT=\"y=sqrt%28169-144%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Half of CD is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F2=5 ALIGN=MIDDLE  ALT=\"10%2F2=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so here, x=5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%28169-25%29 ALIGN=MIDDLE  ALT=\"y=sqrt%28169-25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=12%29 ALIGN=MIDDLE  ALT=\"highlight%28y=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In the described arrangement, chord AB is 5 units from the center, and chord CD is 12 units from the center, both chords perpendicular to the positive y-axis.  SEVEN units apart from each other;  12-5=7.\r<BR>\n" );
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document.write( "(You can do a similar arrangement but put the two parallel chords on OPPOSITE sides of the origin, and may get a different distance between chords.) </SPAN>\n" );
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