Question

What are the coordinates of the orthocenter of triangLe ABC with the vertices at A(1,2), B(1,6), and C(5,6)?

Answer 1

Orthocenter is the intersection of all the three altitudes of a triangle. The location of orthocenter depends on the type of triangle. If it is acute, it will lie within the triangle. If it is obtuse, it will lie outside the triangle. If it is right, it will occur at the vertex of the triangle.

For us to know, let's plot this triangle first in a graph.

As we can see in the plotted triangle above, the triangle is a right triangle and its vertex is at B(1, 6) therefore, the orthocenter of this triangle is located at (1, 6) as well.