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Using the Pythagorean theorem, we can solve for the length of the other leg:
a^2 + b^2 = c^2
(12)^2 + b^2 = (16)^2
144 + b^2 = 256
b^2 = 112
b = √112
b ≈ 10.6
Therefore, the length of the other leg is approximately 10.6.