A and B are respectively the points on the sides PQ and PR of a triangle PQR such that PQ=12.5cm,PA=5cm,BR=6cm and PB=4cm. Is AB∥QR? Give reasons for your answer.
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Solution
From the dimensions given in the question, Consider the △PQR So, PQ/PA=12.5/5 =2.5/1 PR/PB=(PB+BR)/PB =(4+6)/4 =10/4 =2.5 By comparing both the results, 2.5=2.5 Therefore, PQ/PA=PR/PB So, AB is parallel to QR.