In triangle ABC, AB| = |AC] (as shown in the figure below). |BD| = |DC| and BE]> CE]. Suppose that tan ZEAC, tan on and that not /D45 cot ¿CAE and got /DAR for

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ISBN:9780470458365
Author:Erwin Kreyszig
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In triangle ABC, AB| = |AC] (as shown in the figure below). Points D and E lie on ray BC such that
|BD| = |DC| and BE CE]. Suppose that tan ZEAC, tan LEAD and tan ZEAB form a geometric
progression, and that cot ZDAE, cot ZCAE and cot ZDAB form an arithmetic progression. If AE] = 10,
evaluate the area of triangle ABC.
B D
ww
Transcribed Image Text:In triangle ABC, AB| = |AC] (as shown in the figure below). Points D and E lie on ray BC such that |BD| = |DC| and BE CE]. Suppose that tan ZEAC, tan LEAD and tan ZEAB form a geometric progression, and that cot ZDAE, cot ZCAE and cot ZDAB form an arithmetic progression. If AE] = 10, evaluate the area of triangle ABC. B D ww
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