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February 10th, 2018, 03:54 AM   #11
Joined: Dec 2017
From: Spain

Posts: 18
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Sorry I didn't answer
The trick is using three theorems:
Tales theorem
Altitudes theorem in rectangle triangles
and remember that the product of the altitudes-parts is always equal:
Hence all the lines
HPa; HQa; HPb; HQb; HPc; HQc have the same length and origin (H).
Hence they are all radii of a common circle
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circles, cyclic hexagon, exercise, geometry, involved, orthocenter, parallels

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