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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
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.