Stewart's Theorem

Stewart’s Theorem relates the lengths in a triangle when a line is drawn from one vertex to the opposite side, dividing that side into two segments. It states that the length of the side opposite the vertex, combined with the segments created, is related in a specific way to the other two sides of the triangle and the segments on the divided side. Essentially, it provides a formula to calculate missing lengths, helping with geometric problems involving triangles and cevians (lines from a vertex to the opposite side). It’s a useful tool for understanding relationships within triangles.