Two forces having magnitude A and $$\dfrac{A}{2}$$ are perpendicular to each other. The magnitude of their resultant is:

Two forces of magnitudes $$A$$ and $$\frac{A}{2}$$ are perpendicular to each other.

The magnitude of the resultant when two forces are perpendicular is:

$$ R = \sqrt{F_1^2 + F_2^2} = \sqrt{A^2 + \frac{A^2}{4}} = \sqrt{\frac{5A^2}{4}} = \frac{\sqrt{5}A}{2} $$

The correct answer is $$\dfrac{\sqrt{5}A}{2}$$.

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