This question can also be asked: given a triangle, and its dimensions, whose vertices lie on the edge of a circle find the radius of the circle.
I am not actually sure if there is enough information to solve this problem (I conjured it myself) but I have the strongest intuition that there is. It just makes perfect sense visually in my head that this should be answerable, but I have failed to formalize this intuition. Thanks in advance!
According to this Wikipedia article, the diameter of the circumscribed circle of a triangle can be found in terms of the length of its three sides, $a,b,c$ :
$$\frac{abc}{2\sqrt{s(s-a)(s-b)(s-c)}}$$
where $$s = \frac{a + b + c}{2}$$.