An equilateral triangle 
is cut from a thin solid sheet of wood. (See figure) 
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
JEE Main 2019
Let mass of the larger triangle 
Side of larger triangle 
Moment of inertia of larger triangle 
Mass of smaller triangle 
Length of smaller triangle 
Moment of inertia of removed triangle 
So, 
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