Question

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

Answer 1

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.

$\frac{part of hypotenuse}{altitude} =\frac{altitude}{other part hypotenuse }$

Substituting the values from the triangles we ahve:

$\frac{r}{h} =\frac{h}{s}$

s is the right answer