document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156824>Question 1156824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The dimensions of rectangle ABCD are AB = 12 and BC = 16. Point P is marked on side BC, so that BP = 5, and the intersection of AP and BD is called T. Find the lengths of the four segments TA, TP, TB, and TD. </SPAN>\n" );
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document.write( "By the Pythagorean Theorem, AP is 13 and BD is 20.<br><BR>\n" );
document.write( "Triangles BTP and DTA are similar, with a ratio of similarity of 5:16.<br><BR>\n" );
document.write( "By corresponding parts of similar triangles, AP of length 13 is divided into two parts PT and AT in the ratio 5:16, and BD of length 20 is divided into two parts BT and DT in the ratio 5:16.<br><BR>\n" );
document.write( "You can do the arithmetic to find the lengths of AT, BT, PT, and DT.<br><BR>\n" );
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