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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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