Thales’ theorem is a geometric principle attributed to the ancient Greek mathematician Thales. It states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.
Mathematically, if AB is parallel to CD within a triangle ABC, then the ratio of the lengths of the segments (AC/BC) is equal to the ratio of the lengths of the corresponding segments (AD/BD).
Thales’ theorem is fundamental in geometry, providing insights into the relationships between sides and parallel lines within triangles.