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= 180 - (105)
= 75°
AC ⇒ AC÷sin B = BC÷sin A
AC÷sin 45 = 6√6÷sin 60
AC÷1/2√2 = 6√6÷1/2√3
AC = 3√12 × 2/√3
= 6√4
= 6×2
= 12
AD² = DC² + AC² - 2DC×AC × cos C
= 8² + 12² - 2×8×12×cos 60°
= 64 + 144 - 192×1/2
= 208 - 96
= 112
AD = √112 ⇒ 4√7 cm