Henry Prosser Unit 5 Project 5/27/2020 Task 1: Please reference above graph. To build a shower equidistant to the campsites, the shower would have to be placed in the incenter of the triangle. To do this, first you must find the perpendicular bisectors of lines BP, BH, and PH. Line BP is (3,6), line PH is (8,6) and line BH is (7,2). The point where they meet is in the incenter. This is (6, 4.6) and is where the shower should be placed. Task 2: A. The orthocenter of ∆ ABC is (5,1). To find the orthocenter I had to find the equation of the line containing the altitude of AC. X= 2 because it is a horizontal line. The line with the altitude of BC has a y value of -3. (2 − 5)/(4 − 5) The orthocenter of ∆ ABO is the same as point a (2,2). The orthocenter of ∆ ACO is point B (5,5) and the orthocenter of ∆ BCO is point c (2,2). What I found is that the orthocenter becomes the ve ...
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