SSC MTS Model Paper 3

Question : 35 of 150

Marks: +1, -0

In a triangle ABC, two medians BP and CQ intersect at G. Find the ratio of area of ∆PGQ and ∆ABC.

Solution:

In the figure BP and CQ are medians meeting at point G.
⇒ ∆BGC =

1/3

× ∆ABC ∵ QP =

{BC}/2

⇒ ∆PGQ : ∆BGC = 1 : 4
⇒ ∆PGQ :

1/3

∆BGC = 1 : 4
⇒ ∆PGQ : ∆ABC = 1 : 12

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