Find the value of x.

Answer:
The answer is x= 8
Step-by-step explanation:
Since the side is tangent to the circle then the triangle is right-angled and applying the Pythagorean law, we get the value of x
[tex] {17}^{2} = {15}^{2} + {x}^{2} \\ {x }^{2} = 289 - 225 = 64 \\ x = 6[/tex]