The circumcenter is equidistant from all three vertices of the triangle. Location Tip: Acute triangle: Inside. Right triangle: On the hypotenuse. Obtuse triangle: Outside.
This is the "center of gravity." It follows the 2/3 Rule : The distance from the vertex to the centroid is 2/3 of the total length of the median. Formula: If you have coordinates , the centroid is simply: quiz 5-2 centers of triangles answer key
Centroid rule: AG = 2/3 of median → 10 = (2/3)*median → median = 15. The circumcenter is equidistant from all three vertices
The circumcenter is equidistant from all three vertices. These distances represent the radius of the "circumscribed" circle If is the circumcenter of △PQRtriangle cap P cap Q cap R VRcap V cap R Obtuse triangle: Outside
Triangle R(0,0), S(4,0), T(0,3). Right angle at R. The altitudes from S and T meet at R itself. Orthocenter = (0,0).