Talbot's Theorem

Talbot’s Theorem states that if two lines intersect inside a triangle, then the pairs of lines drawn through the opposite corners, parallel to these intersecting lines, will divide the triangle into smaller segments with proportional relationships. Specifically, the theorem ensures that certain segments created within the triangle are proportional based on the initial intersection and parallel lines. It’s a useful result in geometry for understanding how segments relate within a triangle when lines are drawn parallel to segments intersecting inside it, revealing underlying proportional relationships.