Respuesta :

Answer:

x = 24

Step-by-step explanation:

To simplify the work we can use the Pytaghoran theorem in this way:

x^2 + x^2 = (24√2)^2

2x^2 = 24^2 *(√2)^2

2x^2 = 576 * 2

x^2 = 576

x = +/- √576

x = +/- 24

we choose only the positive value because a length can’t be negative

x = 24