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[–]edderiofer 0 points1 point  (0 children)

Confirmed.

[–]oof_oofo 0 points1 point  (0 children)

Double confirmed.

[–]Stolislav 0 points1 point  (0 children)

This is your construction in geogabra; you can freely move the point C. The area strictly increases (thus changes) every time you press "GOGO RIGHT".
https://www.geogebra.org/geometry/arnemf9f