Published by:
CGP EDU Academic Team
Published on: August 13, 2026
G is the centroid to triangle ABC. Perpendiculars from vertices A, B, C meet the sides BC, CA, AB at D, E, F respectively. P,Q,R are feet of the perpendiculars from G on sides BC, CA, AB respectively. L, M, N are the mid points of sides BC, CA, AB respectively, then
(i) Length of the side PG is
A
b sin C 
(a 2 + b 2 + c 2 ) sin A sin B sin C
B
c sin C 
(a 2 + b 2 + c 2 ) sin A sin B sin C
C
b sin C 
(a 2 + b 2 + c 2 ) sin A sin B sin C
D
c sin B (ii) (Area of Δ GPL) to (Area of Δ ALD) is equal to 
(iii) Area of Δ PQR is 
(a 2 + b 2 + c 2 ) sin A sin B sin C
Text Solution
Verified by ExpertsThe correct answer is:
C
Ans.
(i)
Sol. 
c sin B
(ii)
Sol. 
(iii)
Sol. 
(a 2 + b 2 + c 2 ) sin A sin B sin C
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