Answer:
12.6 inches
Step-by-step explanation:
We only need to apply Pythagoras theorem to solve this problem.
Pythagoras theorem state that in a right-angle triangle, 
opposite² + adjacent²  = hypotenuse²
From the question hypotenuse = 14 inches
one of the leg, lets say adjacent = 6 inches
Let x be the length of the other leg.
We can now proceed to insert our values into the formula;
opposite² + adjacent²  = hypotenuse²
          x²    +      6²           = 14²
          x²   +   36   = 196
Subtract 36 from both-side of the equation
 x²   +  36  - 36   = 196 -  36
 x²   =  160
Take the square root of both-side to get the value of x
√x²   =  √160
x = 12.649
x≈12.6
Therefore the approximate length of the other leg is 12.6 inches