NUMERIC RESPONSE
Two equilateral triangles of side lengths
and
respectively are cut out from a large thin, uniform metallic sheet. The moment of inertia of the first triangle about one of its sides is
and the moment of inertia of the second triangle about one of its sides is
. The ratio
is equal to

Text Solution
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NUMERIC RESPONSE
(16) We do not need the exact formula for the moment of inertia of a triangular plate about one of its sides to find the answer to this question.
If the side length of the triangle is a and the mass of the triangle is
, then the moment of inertia will be proportional to
.
Now, the mass
will itself be proportional to
(because the mass will proportional to the area of the triangle)
So, the moment of inertia is proportional to 
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