Use the following GeoGebra construction to work through the Lab. You may want to write information down as you go just in case you don't finish the entire lab or can't get the form to submit.
An altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side.
An orthocenter is the point of concurrency of the medians of a triangle.
Start with these coordinates for your vertices: G (2, 5) J (9, 6) H (6, 3)

Questions/Observations:
1. What are the coordinates of the triangle's orthocenter?
2. Find the distance from each vertex to the opposite side.
3. Find the length of each altitude.
4. What do you notice about the location of the orthocenter as the triangle's shape changes?