Hi,

Let x represent the length of the 'other leg'

The hypotenuse of a right triangle is 15 cm, and the shorter leg is 9 cm

Applying the Pytahgorean Theorem

x^2 + 9cm^2 = 15cm^2

x^2 + 81cm^2 = 225cm^2

x^2 = 225cm^2 - 81Cm^2

x^2 = 144cm^2

x = +- 

x = +-12cm, negative solution is not appropropriate

x = 12cm, length of the 'other leg'

 

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