Discussion

Explanation:

5, 12 and 13 form a pythagorean tiplet, hence the given triangle is a right triangle with AC as the hypotenuse

In a right triangle, the length of altitude drawn on hypotenuse is $\sqrt{\frac{\mathrm{product} \mathrm{of} \mathrm{smaller} \mathrm{sides}}{\mathrm{hypotenuse}}}$.

∴ altitude = $\sqrt{\frac{5\times 12}{13}}$ = $\sqrt{\frac{60}{13}}$

Hence, option (b).

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