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Hi
Let x represent the length of the other leg
Applying the Pythagorean Theorem
(9cm)^2 + x^2 = (15cm)^2
x^2 = (15cm)^2 - (9cm)^2
x^2 = 144cm^2
x = ± 12 |tossing out negative solution for length
x = 12cm, the length of the other leg