show that 12 cos 30degrees + 2 tan 60degrees can written in the form square root of k, where k is an integer

In the figure below, segment ac is congruent to segment ab: which statement is used to prove that angle abd is congruent to angle acd? a.)triangle acd is similar to triangle abd. b.)triangle acd is congruent to triangle abd. c.)segment a.d. is congruent to segment ac. d.)segment a.d. is congruent to segment dc.