The equilateral triangle 
is cut from a thin solid sheet of wood. (See figure) D, E and 
are the mid points of its sides as shown and 
is the centre of the triangle. The moment of inertia of the triangle about an axis passing through 
and perpendicular to the plane of the triangle is 
. If the smaller triangle 
is removed from 
, the moment of inertia of the remaining figure about the same axis is I. Then:
Text Solution
Verified by ExpertsA
(let 
mass present area)
and 
So, 
Moment of inertia of remaining sheet 
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