Question

The $ABC$ 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 $CA$ respectively. Which one of the following relations is correct.?

Answer 1

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Given triangle $ABC$

Right angle at $B$

$\Rightarrow$ Side of the perpendicular / side of the base

$=AB/BC$

$=8:6$

$\Rightarrow$ Side of the perpendicular / Hypotenuse or the opposite side of the perpendicular

$=AB/AC$

$=8:10$

$\Rightarrow$ side of the base / Hypotenuse and the side opposite to perpendicular

$=BC/AC$

$=6:10$