document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=631800>Question 631800</A>: <I><SPAN STYLE=\"word-break: break-all;\"> AB & CD are two parallel chords drawn on two opposite sides of their parallel diameters such that AB=6cm,CD= 8cm.if the radius of the circle is 5cm,the distance between the chords,in cm, is<BR>\n" );
document.write( "A   2           B    8<BR>\n" );
document.write( "C   5           D    3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397842 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20056)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=397842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28200%2C200%2C-5%2C5%2C-5%2C5%2Ccircle%280%2C0%2C5%29%2Cline%28-3%2C4%2C3%2C4%29%2Cline%28-4%2C-3%2C4%2C-3%29%2C%0D%0Alocate%28-3.45%2C4.45%2CA%29%2Clocate%283.2%2C4.45%2CB%29%2C+locate%28-4.2%2C-3%2CC%29%2C+locate%284%2C-3%2CD%29%2C%0D%0Ared%28line%28-5%2C0%2C5%2C0%29%29%2Clocate%280%2C4.75%2C6%29%2C+locate%280%2C-3%2C8%29%2C+locate%28.2%2C.8%2CO%29%2Ccircle%280%2C0%2C.1%29%2C+locate%28-.2%2C0%2C10%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "Draw a green diameter perpendicular to the red diameter, which biscects \r\n" );
document.write( "chord AB at E into two 3 cm parts, chord CD at F into two 4 cm parts, and the\r\n" );
document.write( "red diameter into two 5 cm radii \r\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28200%2C200%2C-5%2C5%2C-5%2C5%2Ccircle%280%2C0%2C5%29%2Cline%28-3%2C4%2C3%2C4%29%2Cline%28-4%2C-3%2C4%2C-3%29%2C%0D%0Alocate%28-3.45%2C4.45%2CA%29%2Clocate%283.2%2C4.45%2CB%29%2C+locate%28-4.2%2C-3%2CC%29%2C+locate%284%2C-3%2CD%29%2C%0D%0Ared%28line%28-5%2C0%2C5%2C0%29%29%2Clocate%28-1.6%2C4.75%2C3%29%2C+locate%281.4%2C4.75%2C3%29%2C+green%28line%280%2C-5%2C0%2C5%29%29%2Clocate%28-1.8%2C-3%2C4%29%2C+locate%281.6%2C-3%2C4%29%2C+locate%28.2%2C.8%2CO%29%2Ccircle%280%2C0%2C.1%29%2C%0D%0Alocate%28-3%2C0%2C5%29%2Clocate%283%2C0%2C5%29%2Clocate%28.2%2C4%2CE%29%2Clocate%28.2%2C-3%2CF%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "\r\n" );
document.write( "Draw in radii OA and OC, which are 5 cm each.\r\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28200%2C200%2C-5%2C5%2C-5%2C5%2Ccircle%280%2C0%2C5%29%2Cline%28-3%2C4%2C3%2C4%29%2Cline%28-4%2C-3%2C4%2C-3%29%2C%0D%0Alocate%28-3.45%2C4.45%2CA%29%2Clocate%283.2%2C4.45%2CB%29%2C+locate%28-4.2%2C-3%2CC%29%2C+locate%284%2C-3%2CD%29%2C%0D%0Ared%28line%28-5%2C0%2C5%2C0%29%29%2Clocate%28-1.6%2C4.75%2C3%29%2C+locate%281.4%2C4.75%2C3%29%2C+green%28line%280%2C-5%2C0%2C5%29%29%2Clocate%28-1.8%2C-3%2C4%29%2C+locate%281.6%2C-3%2C4%29%2C+locate%28.2%2C.8%2CO%29%2Ccircle%280%2C0%2C.1%29%2C%0D%0Alocate%28-3%2C0%2C5%29%2Clocate%283%2C0%2C5%29%2C+blue%28line%280%2C0%2C-3%2C4%29%2Cline%280%2C0%2C-4%2C-3%29%29%2C+locate%28.2%2C4%2CE%29%2Clocate%28.2%2C-3%2CF%29%2C+locate%28-2%2C2%2C5%29%2C+locate%28-2.2%2C-.7%2C5%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( " \r\n" );
document.write( "We use the Pythagorean theorem on right triangles OAE and OCF to find OE and\r\n" );
document.write( "OF\r\n" );
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document.write( "   OA² = AE² + OE²           OC² = CF² + OF²\r\n" );
document.write( "    5² =  3² + OE²            5² =  4² + OF²\r\n" );
document.write( "    25 =   9 + OE²            25 =  16 + OF²\r\n" );
document.write( "25 - 9 = OE²             25 - 16 = OF²\r\n" );
document.write( "    16 = OE²                   9 = OF²  \r\n" );
document.write( "     4 = OE                    3 = OF\r\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28200%2C200%2C-5%2C5%2C-5%2C5%2Ccircle%280%2C0%2C5%29%2Cline%28-3%2C4%2C3%2C4%29%2Cline%28-4%2C-3%2C4%2C-3%29%2C%0D%0Alocate%28-3.45%2C4.45%2CA%29%2Clocate%283.2%2C4.45%2CB%29%2C+locate%28-4.2%2C-3%2CC%29%2C+locate%284%2C-3%2CD%29%2C%0D%0Ared%28line%28-5%2C0%2C5%2C0%29%29%2Clocate%28-1.6%2C4.75%2C3%29%2C+locate%281.4%2C4.75%2C3%29%2C+green%28line%280%2C-5%2C0%2C5%29%29%2Clocate%28-1.8%2C-3%2C4%29%2C+locate%281.6%2C-3%2C4%29%2C+locate%28.2%2C.8%2CO%29%2Ccircle%280%2C0%2C.1%29%2C%0D%0Alocate%28-3%2C0%2C5%29%2Clocate%283%2C0%2C5%29%2C+blue%28line%280%2C0%2C-3%2C4%29%2Cline%280%2C0%2C-4%2C-3%29%29%2C+locate%28.2%2C4%2CE%29%2Clocate%28.2%2C-3%2CF%29%2C+locate%28-2%2C2%2C5%29%2C+locate%28-2.2%2C-.7%2C5%29%2C%0D%0Alocate%28.2%2C2.5%2C4%29%2C+locate%28.2%2C-1.2%2C3%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
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document.write( "The distance between the chords = EF = OE + OF = 4 + 3 = 7cm.\r\n" );
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document.write( "Therefore it is none of the choices you gave.  The correct distance\r\n" );
document.write( "is 7 cm.\r\n" );
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document.write( "Edwin</PRE>\r<BR>\n" );
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document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );