Length of sides of triangles in terms of x and d

Question

I came across this problem and couldn't work out how to solve it. The problem is to find r2 and r1 in terms of x and d.

I tried using some trigonometry (cosine formula) and Pythagoras' theorem but couldn't make anything of it. Any help is appreciated.

Answer 1

There is no unique solution except to establish the equation

$$\sqrt{r_2^2-d^2}=\sqrt{r_1^2-d^2}+x$$