document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210473>Question 1210473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If ST = 2, QS = 4, and PT = 5, find PQ. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852837 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53299)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "If ST = 2, QS = 4, and PT = 5, find PQ.<BR>\n" );
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document.write( "Another version of the Artificial Intelligence (the Google Overview) treats the problem differently,<BR>\n" );
document.write( "than @CPhill treats it, using different interpretation, and obtains very different answer PQ = 15.\r<BR>\n" );
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document.write( "See the link\r<BR>\n" );
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document.write( "https://www.google.com/search?q=If+ST+%3D+2%2C+QS+%3D+4%2C+and+PT+%3D+5%2C+find+PQ.&rlz=1C1CHBF_enUS1071US1071&oq=If+ST+%3D+2%2C+QS+%3D+4%2C+and+PT+%3D+5%2C+find+PQ.&gs_lcrp=EgZjaHJvbWUyBggAEEUYOTIHCAEQIRigATIHCAIQIRigATIHCAMQIRigATIHCAQQIRiPAjIHCAUQIRiPAjIHCAYQIRiPAtIBCTk1MTVqMGoxNagCCLACAfEFoBqKcW-un9c&sourceid=chrome&ie=UTF-8\r<BR>\n" );
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document.write( "of today, December 2, 2025.\r<BR>\n" );
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document.write( "In Math, there is a golden and immutable rule: the problem formulation must be complete, clear, precise, <BR>\n" );
document.write( "and unambiguous. In this case, the points and line segments are introduced, but it is unclear what figure <BR>\n" );
document.write( "or configuration they refer to.\r<BR>\n" );
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document.write( "In school mathematics, formally speaking, such problems are not accepted and are considered as defective.<BR>\n" );
document.write( "Therefore, when I see a stream of such defective problems at this forum last days, which, moreover, are <BR>\n" );
document.write( "intentionally made defective, I want to ask: dear sirs, did you fall out of a tree and hit your heads? <BR>\n" );
document.write( "And do you need urgent medical attention?\r<BR>\n" );
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document.write( "Dear sirs, do you intend to follow these golden and immutable rules of mathematics?<BR>\n" );
document.write( "Or have you come to break them?\r<BR>\n" );
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document.write( "You must understand that if you undermine these immutable rules, it will sow corruption in the minds <BR>\n" );
document.write( "of schoolchildren, and they will not take mathematics seriously at all.\r<BR>\n" );
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document.write( "God forbid if your exercises damage the already shaky system of mathematics education in this country.<BR>\n" );
document.write( "Then generations to come will curse you for your so called artificial intelligence, and quite rightly so.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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