Question

Question #0ea77

Answer 1

Knowing the leg with length `10` is the hypotenuse, then yes, it is as you put it.

Explanation:

If `a` is the hypotenuse (longest leg, opposite the right angle) of a right triangle, for the lengths of the other two legs, the pythagorean theorem states that `a^2=b^2+c^2`. In your case, the most likely answer is that the remaining leg is `6`, as you described.

But there's a chance the remaining leg is actually the hypotenuse (if not already specified of course) in which case we would have that

`x=sqrt(10^2+8^2)=sqrt(164)=2sqrt(41)`

Don't let the above bother you as much, there's probably an implication somewhere in the problem that the leg of length `10` is the longest. Check if it's mentioned, or if it's the leg opposite the right angle.

EDIT: Noticing your question again, you actually said "the leg of a right angle"...so I guess you can disregard anything below the first paragraph.