BPT THEOREM / THALES THEOREM

PROVE THAT BPT THEOREM / THALES THEOREM Prove that "If a line is drawn parallel to one side of a triangle and intersects the other two sides, then it divides those two sides in the same ratio." Basic Proportionality Theorem The Basic Proportionality Theorem (BPT), also known as Thales' Theorem, is a fundamental result in geometry that plays a vital role in understanding the properties of triangles. The theorem forms the foundation of many advanced geometric principles and is frequently used in problems related to triangles and proportionality.