A and B are respectively the points on the sides PQ and PR of a ∆PQR such that PQ = 12.5 cm, PA = 5 cm, BR = 6 cm and PB = 4 cm, Is AB || QR? Give reason for your answer.


(True)

Given,


PQ = 12.5 cm,


PA = 5 cm,


BR = 6 cm and


PB = 4 cm



Then,


QA = QP – PA = 12.5 – 5 = 7.5 cm



Form Equations (i) and (ii).


PA/AQ = PB/BR


According to the converse of basic proportionality theorem, if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.


Hence,


AB || QR.


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