Respuesta :

Answer:

3

Step-by-step explanation:

All the triangles are similar, so ...

... 3/y = y/27 . . . . . ratio of short side to long side

... 81 = y² . . . . . . . . multiply by 27y

... 9 = y

The Pythagorean theorem tells you ...

... z² = 3² + 9² = 9 +81

... z² = 90 = 9·10

... z = √(9·10) = 3√10

Green Box: 3