ABC is a triangular plate of uniform thickness. The sides

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ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. I_AB, I_BC and I_CA are the moments of inertia of the plate about AB, BC and CA as axes respectively. Which one of the following relations is correct?

1. I_AB > I_BC
2. I_BC > I_AB
3. I_AB + I_BC = I_CA
4. I_CA is maximum

Correct Option: B

The intersection of medians is the centre of mass of the triangle. Since distances of centre of mass from the sides are related as : x_BC > x_AB > x_AC , therefore, I_BC > I_AB > I_AC or I_BC > I_AB.