Question 1156824: 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.
Answer by greenestamps(13198)   (Show Source):
You can put this solution on YOUR website!
By the Pythagorean Theorem, AP is 13 and BD is 20.
Triangles BTP and DTA are similar, with a ratio of similarity of 5:16.
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.
You can do the arithmetic to find the lengths of AT, BT, PT, and DT.
|
|
|
