Google Classroom
GeoGebraGeoGebra Classroom

Sangaku four squares.

Analysis

@solvemymaths posted this Sangaku, and I wondered how to construct the figure in order to imagine the possible questions. I got convinced that for any three points on the bottom line, it is possible to construct this figure in exactly one way. What do you think? Can you find a construction of the black point when the blue are given?
Image
Image