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](https://www.geogebra.org/resource/S7kxpMxz/5xvSXrdMF8uM4YjE/material-S7kxpMxz.png)
![Image](https://www.geogebra.org/resource/YdN5g9tk/RXs3dlQ8ygN4jkLo/material-YdN5g9tk.png)