Question

Why is (triangle)TMR ~ (triangle)THM
~ (triangle)MHR?
Find x, y, and h.

Answer 1

and here is the hint:

Answer 2

Split both triangle apart leaving all the variable how they are and use Pythagorean theorem to try to solve for the unknown sides

You will see that you don't have all the information needed to solve but you can see from the picture that two sides from both triangles are the same so you will have to substitute each each one to another to solve for the sides.