Respuesta :

Answer: the answer is 9 units

Step-by-step explanation:

Answer:

9 units

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Let x be the length of the other leg, then

x² + 12² = 15², that is

x² + 144 = 225 ( subtract 144 from both sides )

x² = 81 ( take the square root of both sides )

x = [tex]\sqrt{81}[/tex] = 9