Orthocenter and Altitude Construction Puzzles
Segment AD is an altitude of triangle ABC. Construct the most "flexible" triangle ABC possible.
![Image](https://beta.geogebra.org/resource/nrgqzp8d/qpXwpQpwdtCx4Yu1/material-nrgqzp8d.png)
Segment AD is an altitude of triangle ABC and line BH contains the altitude from B to side AC. Construct the most "flexible" triangle ABC possible.
![Image](https://beta.geogebra.org/resource/wvr2w7jq/ngMIXjfKGUXBoq20/material-wvr2w7jq.png)
Given orthocenter H and side AB, construct the most "flexible" triangle ABC possible.
![Image](https://beta.geogebra.org/resource/jsn43ar4/ZBLCTNqw3psibb0H/material-jsn43ar4.png)