Someone please answer my question please I am struggling and need to finish tonight I think I got the answer but I am not sure please tell me if correct ASAP

In the figure we have three right angles .The triangles similar to each other .Similar triangles have sides in proportion .The altitude rule is true for the triangles .
The theorem states :The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse.
[tex] \frac{part of hypotenuse}{altitude} =\frac{altitude}{other part hypotenuse } [/tex]
Substituting the values from the triangles we ahve:
[tex] \frac{r}{h} =\frac{h}{s} [/tex]
s is the right answer