what is the length for the 3rd side? write in simplest radical form if needed

Answer:
10
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
Let the third side be x , then
x² + 6² = (2[tex]\sqrt{34}[/tex] )²
x² + 36 = 136 ( subtract 36 from both sides )
x² = 100 ( take the square root of both sides )
x = [tex]\sqrt{100}[/tex] = 10