document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1065070>Question 1065070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a parallelogram ABCD the lengths of the sides AD and AB are 8 in and 3 in respectively. Angle bisectors of angle A and angle D split the opposite side into three segments. Find the length of each of these segments. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #722688 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=722688\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well-slept, on a Saturday morning, I have an interpretation and answer to that problem.<BR>\n" );
document.write( "If you enter a thank-you note, could you tell me where the problem came from, and if my reading/interpretation of the problem is correct?<BR>\n" );
document.write( "The segment lengths are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%28BX=CY=3in%2CXY=2in%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28BX=CY=3in%2CXY=2in%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
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document.write( "The text posted does not give enough information to identify what  parallelogram ABCD looks like.<BR>\n" );
document.write( "Is there a typo? Is it a poorly designed problem?<BR>\n" );
document.write( "Assuming that it was a problem designed by an intelligent mind,<BR>\n" );
document.write( "it took a less sleep-deprived mind to decipher what interpretation/reasoning/answer might be expected.<BR>\n" );
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document.write( "Below are two parallelograms that could be ABCD.<BR>\n" );
document.write( "I did not label vertices, because it does not matter:<BR>\n" );
document.write( "AD is one of the long sides, and AB is one of the short sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%281100%2C600%2C-0.5%2C10.5%2C-2.4%2C3.6%2C%0D%0Aline%280%2C0%2C8%2C0%29%2Cline%282.12%2C-2.12%2C10.12%2C-2.12%29%2C%0D%0Aline%282.12%2C-2.12%2C0%2C0%29%2Cline%288%2C0%2C10.12%2C-2.12%29%2C%0D%0Aline%285.12%2C-2.12%2C3%2C0%29%2Cline%287.12%2C-2.12%2C5%2C0%29%2C%0D%0Aline%280%2C0.5%2C8%2C0.5%29%2Cline%281.03%2C3.32%2C9.03%2C3.32%29%2C%0D%0Aline%281.03%2C3.32%2C0%2C0.5%29%2Cline%288%2C0.5%2C9.03%2C3.32%29%2C%0D%0Aline%284.03%2C3.32%2C3%2C0.5%29%2Cline%286.03%2C3.32%2C5%2C0.5%29%2C%0D%0Aarrow%285%2C0.25%2C8%2C0.25%29%2Carrow%283%2C0.25%2C0%2C0.25%29%2C%0D%0Alocate%283.7%2C0.35%2C8%29%2Clocate%284%2C0.35%2Cinches%29%2C%0D%0Alocate%288.6%2C1.9%2C3in%29%2Clocate%280.85%2C-1.1%2C3in%29%2C%0D%0Alocate%281.4%2C0%2C3in%29%2Clocate%283.9%2C0%2C+2in%29%2Clocate%286.4%2C0%2C3in%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I split the parallelograms into 3 parallelograms.<BR>\n" );
document.write( "The ones at the ends (where A and D are) are rhombi,<BR>\n" );
document.write( "and the angle bisectors, contain AX and DY,<BR>\n" );
document.write( "are diagonals of those rhombi. </SPAN>\n" );
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