Answer:
![8=x](https://tex.z-dn.net/?f=8%3Dx)
Step-by-step explanation:
From the given figure, it is given that ABC is a right angled triangle whch is right angled at B and AC=10, AB=x and BC=6.
Now, since, ABC is a right angled triangle, therefore we can apply the Pythagoras theorem on this triangle, therefore we have
![(AC)^2=(AB)^+(BC)^2](https://tex.z-dn.net/?f=%28AC%29%5E2%3D%28AB%29%5E%2B%28BC%29%5E2)
Substituting the given values, we get
![(10)^2=(x)^2+(6)^2](https://tex.z-dn.net/?f=%2810%29%5E2%3D%28x%29%5E2%2B%286%29%5E2)
![100=x^2+36](https://tex.z-dn.net/?f=100%3Dx%5E2%2B36)
![100-36=x^2](https://tex.z-dn.net/?f=100-36%3Dx%5E2)
![64=x^2](https://tex.z-dn.net/?f=64%3Dx%5E2)
![8=x](https://tex.z-dn.net/?f=8%3Dx)
Therefore, the value of x is
.