Hi there!
[tex]\large\boxed{x = 3.6}[/tex]
We can use the Pythagorean theorem to solve, where:
CT² = CP² + PT²
Thus:
CT² = 5² + 7²
CT² = 74
CT = √74 = 8.60
To solve for x, we must subtract the radius from CT to solve:
x = CT - 5
8.6 - 5 = 3.6
