Respuesta :

Answer:

x = 6√2

Step-by-step explanation:

This is a right triangle, specifically a 45-45-90 one.  Using the Pythagorean Theorem, we get x^2 + x^2 = (12 cm)^2, or:

2x^2 = 144 cm^2, or

x^2 = 72 cm^2.

This comes out to x = 6√2