Answer:
x = 10
Step-by-step explanation:
According to the pythagorean theorem for any right triangle,
[tex]a^2 + b^2 = c^2[/tex]
where a and b are the legs of the right triangle, and c is its hypotenuse.
In our case, a = 8, b = 6 and c = x, therefore we can substitute those values into the pythagorean theorem to solve for x.
[tex]a = 8, b = 6, c = x\to a^2 + b^2 = c^2\\\\8^2 + 6^2 = x^2\\64 + 36 = x^2\\100 = x^2 \text{ // Take sqrt on both sides}\\x = 10[/tex]
