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Find the moment of inertia of a plate cut in shape of a right angled triangle of mass \( \mathrm{M} \), side \( \mathrm{AC}=\mathrm{BC}=\mathrm{a} \) about an axis perpendicular to the plane of the plate
P and passing through the mid point of side \( \mathrm{AB} \)

W
(1) \( \frac{M a^{2}}{12} \)
(2) \( \frac{M a^{2}}{6} \)
(3) \( \frac{M a^{2}}{3} \)
(4) \( \frac{2 M a^{2}}{3} \)
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