Me with 8, 9, and 10 ! show work too random answers will be moderated!

In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.

8. hypotenuse / (short side) = 25/x = x/9
  x² = 25*9 = 5²×3²
  x = √(5²×3²) = 5*3 = 15

9. (long side) / (short side) = x/7 = 9/x
  x² = 7*9
  x = √(9*7) = 3√7

10. (short side) / (long side) = x/48 = 48/64
  x = 48²/64 = 36