WILL MARK BRAINLIEST

Step-by-step explanation:
Given:
Find: Z to two decimal places
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {z}^{2} = {y}^{2} \\ {70}^{2} + {z}^{2} = {106}^{2} \\ 4900 + {z}^{2} = 11236 \\ {z}^{2} = 11236 - 4900 = 6336 \\ z = \sqrt{6336} = 79.60[/tex]