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In this exercise you given a triangle \(\Delta ABC\). Your task is to construct the orthic triangle associated to this triangle. When all the angles in \(\Delta ABC\) are acute, we proved in class that the incentre of the orthic triangle is the orthocentre of \(\Delta ABC\). What happens when one of the angles in \(\Delta ABC\) is obtuse? Use the diagram below to formulate a conjecture and try to prove it.
