Ex 6.3, 12 - Sides AB and BC and median AD of a ABC - Ex 6.3

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Ex 6.3, 12 Sides AB and BC and median AD of a triangle ABC are respectively proportional to sides PQ and QR and median PM of PQR (see figure). Show that ABC PQR. Given: ABC where AD is the median PQR where PM is the median & / = / = / To Prove: ABC PQR. Proof:- Since AD is the median, BD = CD = 1/2 BC Similarly, PM is the median, QM = RM = 1/2QR Given that / = / = / / =2 /2 = / / = / = / Since all 3 sides are proportional ABD PQM Hence, = In ABC & PQR = / = / Hence by SAS similarly ABC PQR

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.