Answer:
AC = √13 in
Step-by-step explanation:
CD is the altitude of isosceles triangle ABC, so D is the midpoint of AB, and AD = 2.
AD and CD are the legs of right triangle ACD, so ...
AC² = CD² + AD² = (3 in)² + (2 in)² = (9 +4) in² = 13 in²
AC = √(AC²) = √13 in ≈ 3.6055 in