This question is from electrodynamics although I am stuck in the mechanics part here.
$AB$,$BC$,$CA$ are wires/rods, we needed to calculate Moment of Inertia(MOI) about an axis $xx'$ parallel to BC and in the plane of loop, each wire/rod is of mass $m$ and length $l$.
I tried calculating MOI about the centroid i.e center of mass(COM), and then using parallel axes theorem, the distance between side and centroid is d = $\frac{l}{2 \sqrt3}$ so calculating MOI perpendicular to the plane about COM would be 3($\frac{ml^2}{12}$ + $md^2$). Now using perpendicular axes theoram $I_x$ + $I_y$ = $I_z$, here I know $I_y$ would be equals $\frac {ml^2}{12}$ but how do I calculate $I_x$?
Should I use this approach or is there any other approach for this?
The answer given is $\frac{5ml^2}{4}$.
Any help would be appreciated