Medians And Bisectors

Geometry Level 5

In a right triangle, find the measure of angle $\theta$ between the median and the angle bisector drawn from the vertex of the acute angle equal to $\alpha$.

Now, if $\tan\left(\dfrac{\alpha}{2}\right) = \dfrac{1}{\sqrt[3]{2}}$, enter $\tan(\theta)$ as your answer.

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