document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698535>Question 698535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ABCD IS A RHOMBUS, AC=10CM AND AB=12CM. FIND BD.\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 #430785 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=430785\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><font face=\"Tahoma\">A rhombus is a parallelogram with 4 equal sides.<br>\r<BR>\n" );
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document.write( "So if you know the length of one side, you know the length of all 4 sides.<br>\r<BR>\n" );
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document.write( "Also, the diagonals of a rhombus always bisect each other,<br>\r<BR>\n" );
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document.write( "and they are always perpendicular to each other.<br>\r<BR>\n" );
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document.write( "So let's draw the diagonals, where M is the intersection of the diagonals,<br>\r<BR>\n" );
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document.write( "and notice we will form a right triangle AMD.<br>\r<BR>\n" );
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document.write( "Using this, we can find DM, and we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DM=%281%2F2%29%2ADB ALIGN=MIDDLE  ALT=\"DM=%281%2F2%29%2ADB\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "We can use the Pythagorean Theorem at this point.<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28AM%29%5E2%2B%28DM%29%5E2=%28AD%29%5E2 ALIGN=MIDDLE  ALT=\"%28AM%29%5E2%2B%28DM%29%5E2=%28AD%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E2%2B%28DM%29%5E2=12%5E2 ALIGN=MIDDLE  ALT=\"5%5E2%2B%28DM%29%5E2=12%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2B%28DM%29%5E2=144 ALIGN=MIDDLE  ALT=\"25%2B%28DM%29%5E2=144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28DM%29%5E2=119 ALIGN=MIDDLE  ALT=\"%28DM%29%5E2=119\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DM=sqrt%28119%29 ALIGN=MIDDLE  ALT=\"DM=sqrt%28119%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DM=%281%2F2%29%2ADB ALIGN=MIDDLE  ALT=\"DM=%281%2F2%29%2ADB\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can see that:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28119%29=%281%2F2%29%2ADB ALIGN=MIDDLE  ALT=\"sqrt%28119%29=%281%2F2%29%2ADB\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%28119%29=DB ALIGN=MIDDLE  ALT=\"2%2Asqrt%28119%29=DB\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "So diagonal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DB=2%2Asqrt%28119%29 ALIGN=MIDDLE  ALT=\"DB=2%2Asqrt%28119%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm or approximately 21.8 cm.<br>\r<BR>\n" );
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document.write( "I hope this helps!  Keep practicing!  :)<br>\r<BR>\n" );
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