Use the formula a^2 + b^2 = c^2. Substitute all information in (x^2 + 36 = 117). subtract 36 from both sides (x^2 + 36 - 36 = 117 - 36) (x^2 = 81). Find the square root of 81, which is 9. So, x = 9 cm.
(If you see an answer exactly like this, that is my work.)