The sides (xi) and (eta) of a triangle are independent random variables. Using their distribution functions (F_{xi}(x))

Question:

The sides $\xi$ and $\eta$ of a triangle are independent random variables. Using their distribution functions $F_{\xi}(x)$ and $F_{\eta}(x)$ find the distribution function of the third side if the angle between the sides $\xi$ and $\eta$ is equal to a constant number $\alpha$.

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