Each side of the swimming pool is a leg of a right triangle, and the diagonal is the hypotenuse. We can use the Pythagorean theorem to find the length of the hypotenuse.
a^2 + b^2 = c^2
(24 m)^2 + (10 m)^2 = c^2
576 m^2 + 100 m^2 = c^2
676 m^2 = c^2
c = sqrt(676 m^2)
c = 26 m
Answer: She can swim 26 meters without taking a breath.
