Answer:
AC = √7 in
Step-by-step explanation:
ΔABC is isosceles, so ΔADC is a right triangle with AD = 2 in and CD = √3 in. The length of hypotenuse AC is found using the Pythagorean theorem.
... AC² = AD² +CD² = (2 in)² +(√3 in)² = (4 +3) in²
... AC = √7 in . . . . take the square root