A and B are respectively the points on the sides PQ and PR of a triangle PQR such that PQ 125 cm PA ...

Question

A and B are respectively the points on the sides PQ and PR of a triangle PQR such that PQ 125 cm PA 5 cm BR 6 cm and PB 4 cm Is AB QR Give reasons for your answer

Accepted Answer

Solution Converse to the Basic Proportionality Theorem is if a line splits any two sides of a triangle in the same ratio then the line must be parallel to the third side From the dimensions given in the question Consider the PQR So PQPA 1255 251 PRPB PB BRPB 4 64 104 25 By comparing both the results 25 25 Therefore PQPA PRPB So AB is parallel to QR

ML Aggarwal Solutions Class 10 Mathematics Solutions for Similarity Exercise 13.2 in Chapter 13 - Similarity