Question

Why basic proportionality theorem is named so? What is the meaning of 'basic' in the name?

Answer 1

Answer:

Basic Proportionality theorem was introduced by a famous Greek Mathematician, Thales, hence it is also called Thales Theorem. According to him, for any two equiangular triangles, the ratio of any two corresponding sides is always the same. Based on this concept, he gave theorem of basic proportionality. This concept has been introduced in similar triangles.  If two triangles are similar to each other then,

i) Corresponding angles of both the triangles are equal

ii) Corresponding sides of both the triangles are in proportion to each other

Thus two triangles ΔABC and ΔPQR are similar if,

i) ∠A=∠P, ∠B=∠Q and ∠C=∠R

ii) AB/PQ, BC/QR, AC/PR.

                                        Hope it helps u!!!