Answer:
b = 12
Step-by-step explanation:
Using the Pythagorean Theorem:
a² + b² = c²
You can identify that 12√12 is the hypotenuse, as it is opposite to the right angle.
So:
12² + b² = (12√2)²
144 + b² = [(12√2) (12√2)]
144 + b² = (12 × √2 × 12 × √2)
144 + b² = (144 × 2)
144 + b² = 288
b² = 144
√b² = √144
b = 12