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Point Construction Ponder (Posted on 2015-02-25) Difficulty: 3 of 5
Consider a right triangle ABC and construct a point P inside the triangle such that the angles PBC, PCA and PAB are equal.

*** Adapted from a problem which appeared in a Hungarian Math Contest..

No Solution Yet Submitted by K Sengupta    
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re: Solution Expanded | Comment 5 of 6 |
(In reply to Solution by Harry)

Find the point Q such that angles QAC, QBA, and QCB are equal

and prove that angles PAB and QBA are equal.

Prove that tan(PAB) = |AB||BC|/|CA|^2.

Edited on February 27, 2015, 4:48 pm
  Posted by Bractals on 2015-02-27 11:05:37

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