Answer:
x = 8
Step-by-step explanation:
Using Pythagoras' Theorem,
[tex] {hypotenus}^{2} = {adjacent}^{2} + {opposite}^{2} [/tex]
[tex] {10}^{2} = {x}^{2} + {6}^{2} [/tex]
[tex] {x}^{2} = {10}^{2} - {6}^{2} [/tex]
[tex] {x}^{2} = 100 - 36[/tex]
[tex] {x}^{2} = 64[/tex]
Take the square roots of both sides
x = √64
x = 8
