Area moments — centroidal moment of inertia of a triangular section Find the second moment of area (area M.I.) of a triangle of base b and height h about an axis through its C.G. and parallel to the base. Choose the correct expression.

Concept
The centroidal area moment of inertia of a triangle about a horizontal axis through the centroid (parallel to the base) is a standard result.

Result
I_{G, ∥base} = \(\dfrac{b h^3}{36}\)

Why others are incorrect
Values such as \(bh^3/12\) or \(bh^3/8\) correspond to different shapes/axes (e.g., rectangles) and are not applicable to a triangle about this specific centroidal axis.

Final Answer
bh3/36