All three lines that contain the altitudes of a triangle will intersect at the same point - the orthocenter. Move the points of the triangle to see how the orthocenter changes.
How does the orthocenter change as the triangle changes? What can you predict about the location of the orthocenter based on the type of triangle you create? How would you define an altitude based on the black segments shown in the triangle? Set the points of the triangle in one position, then don't change them. Calculate the area of the triangle based on the lengths of the triangle sides and altitudes as shown. How many ways can you find the area? Do you observe differences in the area? Why or why not?