It’s universally acknowledged that there’re innumerable trees in the campus of HUST. Coach Yin possesses a triangular garden below his office. He wants to decorate his garden with a beautiful tree. He believes that a tree planted in place will bring good luck. A tree in place means that this tree is located at the orthocenter, centroid, incenter or circumcenter of the triangle. Orthocenter is the intersection of the three altitudes. Centroid is the intersection of the three midian line. Incenter is the intersection of three inner angular bisector. Circumcenter is the intersection of three perpendicular bisector. It's guaranteed that the given points can form a triangle.
It’s universally acknowledged that there’re innumerable trees in the campus of HUST. Coach Yin possesses a triangular garden below his office. He wants to decorate his garden with a beautiful tree. He believes that a tree planted in place will bring good luck. A tree in place means that this tree is located at the orthocenter, centroid, incenter or circumcenter of the triangle. Orthocenter is the intersection of the three(possibly extended) altitudes. Centroid is the intersection of the three midian line. Incenter is the intersection of three inner angular bisector. Circumcenter is the intersection of three perpendicular bisector. It's guaranteed that the given points can form a triangle.
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