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An massless equilateral triangle $EFG$ of side ‘$a$’ (As shown in figure) has three particles of mass $m$ situated at its vertices. The moment of inertia of the system about the line $EX$ perpendicular to $EG$ in the plane of $EFG$ is $\frac{N}{20}ma^2$ where $N$ is an integer. The value of $N$ is __________.
BETA
