Answer:
x = 24
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