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determining the vertices knowing orthocenter, circumcenter, midpoind of side

Source: Romanian District Olympiad 2004, Grade IX, Poblem 2

October 7, 2018
analytic geometrygeometrycircumcircle

Problem Statement

Find the possible coordinates of the vertices of a triangle of which we know that the coordinates of its orthocenter are (−3,10), (-3,10), those of its circumcenter is (−2,−3), (-2,-3), and those of the midpoint of some side is (1,3). (1,3).
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