The symmedian point can be found in all triangles. In order to find the symmedian point, one must first construct the symmedians of the triangle. The symmedians are created by reflecting each median of the triangle over each angle bisector. A median is a line segment joining a vertex to the midpoint of the opposite side. An angle bisector is a line segment splitting an angle into two equal parts. All triangles have three medians, angle bisectors, and symmedians because each triangle has three sides and angles. Once you have created all three symmedians, the symmedian point can be found. The point where all three symmedians intersect is known as the symmedian point. Do not get the symmedian point confused with the centroid, which is the point where all three medians intersect.
