Given:
In △ABC is a right angle triangle.
AC is 6 units longer than side BC.

To find:
The length of AC.
Solution:
Let the length of BC be x.
So, Length of AC = x+6
According to the Pythagoras theorem, in a right angle triangle

△ABC is a right angle triangle and AC is hypotenuse, so

![[\because (a+b)^2=a^2+2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5D)
Subtract 68 from both sides.



Divide both sides by 2.

Splitting the middle term, we get




Side cannot be negative, so x=2 only.
Now,



Therefore, the length of AC is 8 units.