document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210140>Question 1210140</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The base of right pyramid ABCDE is a rhombus with side 5. We also know that \triangle ABD \cong \triangle CBD and EA=BA=2. Find the volume of the pyramid.<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 #851386 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=851386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The problem is presented very poorly; and the only possible interpretation based on the given information describes a pyramid that is not possible.<br><BR>\n" );
document.write( "The problem says that ABCDE is a right pyramid whose base is a rhombus with side length 5, and that EA = BA = 2.  That does not describe the pyramid uniquely.<br><BR>\n" );
document.write( "The standard interpretation is that ABCD is the base and E is the peak of the pyramid.  But in that case, AB is 5 so the given information that BA is 2 is a contradiction.<br><BR>\n" );
document.write( "Since the side lengths of the base are all 5 and EA = BA = 2, that means A must be the peak of the pyramid, with BCDE as the base.<br><BR>\n" );
document.write( "But if that is the case, then face ABE of the pyramid is a triangle with side lengths 2, 2, and 5, which of course is not possible.<br><BR>\n" );
document.write( "SUMMARY....<br><BR>\n" );
document.write( "There is no possible interpretation of the information as given that leads to a problem that can be solved.<br><BR>\n" );
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