could you help with this question? also make it more interesting(use gen z lingo if you want)---**Question 6** **Question Stem:** AD, BE, CF are the altitudes of △ABC. Lines EF, FD, DE meet lines BC, CA, AB in points L, M, N, respectively. Show that L, M, N are collinear and the line through them is perpendicular to the line joining the orthocenter H and circumcenter O of △ABC.

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Alright bestie, let's break down this geometry problem that's about to become our main character moment. We have triangle ABC with altitudes AD, BE, and CF creating the orthic triangle DEF. The question is asking us to prove that certain intersection points are collinear and perpendicular to a specific line. This is giving serious mathematical flex energy!