Question 1156824
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By the Pythagorean Theorem, AP is 13 and BD is 20.<br>
Triangles BTP and DTA are similar, with a ratio of similarity of 5:16.<br>
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>
You can do the arithmetic to find the lengths of AT, BT, PT, and DT.<br>