As shown in the figure, in △ ABC, M is the midpoint of BC, AP is the bisector of ∠ a, BP ⊥ AP is p, ab = 12, AC = 22, then MP length is () A. 3B. 4C. 5D. 6

As shown in the figure, in △ ABC, M is the midpoint of BC, AP is the bisector of ∠ a, BP ⊥ AP is p, ab = 12, AC = 22, then MP length is () A. 3B. 4C. 5D. 6

Extending BP intersection AC to n ≌ AP is the angular bisector of ∠ BAC, BP ⊥ AP to P, ≁ BAP = ∠ nap, ≌ APB = ∠ APN = 90 °, ≌ ABP ≌ ANP (ASA), ≌ an = AB = 12, BP = PN, ≁ CN = ac-an = 22-12 = 10, ≁ BP = PN, BM = cm, ≌ PM is the median line of △ BNC, ≌ PM = 12cn = 5