Finding the Orthocenters

Marianne Parsons


Given triangle ABC, find the orthocenter of triangle AHB, triangle BHC, and triangle CHA.

Remember, the orthocenter is defined by the intersection of the triangle altitudes.


Triangle AHB

We can see the altitudes of this triangle intersect at point C. Therefore, C is the orthocenter.

Triangle BHC

We can see the altitudes of this triangle intersect at point A. Therefore, A is the orthocenter.

Triangle CHA

We can see the altitudes of this triangle intersect at point B. Therefore, B is the orthocenter.

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