Respuesta :

Answer:

3√2

Step-by-step explanation:

The large triangle is made up of two smaller 45-45-90 triangles.  The legs of each of these are equal and measure 3 each.

The hypotenuse, x, can be found as follows, using the Pythagorean Theorem:

x² = 3² + 3², or x² = 2·9.

Taking the square root of both sides, we get x = 3√2.  This corresponds to the fourth possible answer choice.