We can use the Pythagorean formula for this problem.
a²+b²=c²
Where c is the hypotenuse, a and b are the two legs of the right angle triangle.
Given that, one leg: a=8, hypotenuse : c=√113. So, we can plug in these values in the above formula to get the length of other leg:b.
8²+b²=(√113)²
64+b²=113 Since,(√113)²=113
b²=113-64 Subtract 64 from each sides.
b²=49
b=√49 Taking square root to each sides to isolate b.
b=7
So, the length of other leg is 7.
Hence, the correct choice is option A.