find the length for side A.

Answer:
[tex]\boxed{\bf C. \: 8}[/tex]
Step-by-step explanation:
To find the length of side A, we'll apply the Pythagorean Theorem Formula.
[tex]\bf \boxed{\bf AB= \sqrt{ (AC )^{2} - ( BC)^{2} } }[/tex]
Where, AC = 10 (Hypotenuse) and BC = 6.
Therefore, option C is the answer.
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Additional info:-
Keep in mind that the square of the length of the hypotenuse of a right triangle should always equal the sum of the squares of the lengths of the other two sides.
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