Relation between medians and circumradius for right triangle


Right triangle or right-angled triangle is a triangle in which one angle is a right angle (that is, a 90-degree angle). Median of a triangle is a line segment joining a vertex to the midpoint of the opposing side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle’s centroid. Circumscribed circle or circumcircle of a triangle is a circle which passes through all the vertices of the triangle. The center of this circle is called the circumcenter and its radius is called the circumradius. For the right triangle there is a relation between the medians and the circumradius of the triangle.

Related formulas


maMedian from the vertex A to the side a (m)
mbMedian from the vertex B to the side b (m)
mcMedian from the vertex C to the side c (m)
RThe circumradius of the circumcircle of the triangle (m)