perplexus.info :: Shapes : Point Construction Ponder

Point Construction Ponder (Posted on 2015-02-25)

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..

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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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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