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Pentagon in a semicircle (Posted on 2014-01-11) Difficulty: 3 of 5
Let AXYZB be a convex pentagon inscribed in a semicircle of diameter AB. Denote by P, Q, R, S the feet of the perpendiculars from Y onto lines AX, BX, AZ, BZ, respectively. Prove that the acute angle formed by lines PQ and RS is half the size of ∠XOZ, where O is the midpoint of segment AB.

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
SolutionSolutionJer2014-01-12 01:33:18
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