Respuesta :

9514 1404 393

Answer:

  AC ≈ 6.8 cm

Step-by-step explanation:

For legs a and b of a right triangle with hypotenuse c, the Pythagorean theorem tells us ...

  a = √(c² -b²)

Using this relation, we can find legs CE and AE.

  CE = √(3² -2²) = √5

  AE = √(5² -2²) = √21

AC is the sum of these two lengths:

  AC = AE +EC = √21 +√5

  AC ≈ 6.8 cm