Respuesta :

Answer:

[tex]\sqrt{105}[/tex]  or approximately 10.25 cm

Step-by-step explanation:

We can use the Pythagorean theorem to solve for the unknown side since this is a right triangle.

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse.

4^2 + AC^2 = 11^2

16+ AC ^2 = 121

AC^2 = 121- 16

AC ^2 =105

Taking the square root of each side

AC = sqrt(105)

or approximately 10.24695077 cm