The coordinates of the vertices of a triangle are A(0,0), B(8,0), and C(0, 6). What is the location of the orthocenter?

For a right-angled triangle, the orthocenter is located at the vertex of the right angle. Since the right angle is at A(0,0) (as AB lies along x-axis and AC along y-axis), the orthocenter is at (0,0).