It is known that △ ABC is inscribed in ⊙ o, and ab is the diameter of ⊙ O. the bisector of ∠ ACB intersects ⊙ o at point D. if AB = 2cm, then ad=______ cm.

It is known that △ ABC is inscribed in ⊙ o, and ab is the diameter of ⊙ O. the bisector of ∠ ACB intersects ⊙ o at point D. if AB = 2cm, then ad=______ cm.

Connecting BD, ∵ AB is the diameter of ⊙ o, ∵ BCA = ∵ BDA = 90 °, ∵ CD bisects ∵ ACB, ∵ ACD = 45 °, ∵ abd = 45 °, ∵ abd is isosceles right triangle, ∵ ad2 + BD2 = AB2, ∵ AB = 2cm, ∵ ad = 2cm