what is the value of x? show all of your work!

Answer:
x=5cm
Step-by-step explanation:
Pythagorean theorem states that a^2 + b^2=c^2
Plug in the numbers from the picture: 8^2 + x^2 = 89
Then solve for x
It equal 5 or -5 cm but there cannot be a negative measure of a side so it is positive 5