A cyclic quadrilateral (CDIF), where we form two segments: MK (green) with DM perp to FC and DK perp to FI; GJ (orange), with IG perp to FC and IJ perp to CD. What is the ratio MK:GJ ? What about MN:GN?
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Solution
MK:GJ = MN:GN = 1 : 1.
This solution uses Parallel roads.
More solutions: https://x.com/Mirangu1/status/1923265683422368101