How an A is checking here?

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How an A is checking here?

888 Poker - 1000/2000 Ante 250 NL (8 max) - Holdem - 8 players
Hand converted by PokerTracker 4: http://www.pokertracker.com

ImTheOne21 (SB): 72.63 BB
ASMP888 (BB): 10.35 BB (VPIP: 10.26, PFR: 5.41, 3Bet Preflop: 6.67, Hands: 39)
MonoTrampero (UTG): 23.43 BB (VPIP: 12.00, PFR: 12.00, 3Bet Preflop: 0.00, Hands: 25)
gaby3012 (UTG+1): 23.5 BB (VPIP: 17.24, PFR: 13.10, 3Bet Preflop: 7.14, Hands: 87)
Dracie_Zeu09 (MP): 28.58 BB (VPIP: 33.33, PFR: 17.39, 3Bet Preflop: 0.00, Hands: 24)
russmckusa (MP+1): 4.83 BB (VPIP: 4.44, PFR: 2.50, 3Bet Preflop: 0.00, Hands: 46)
R8d3k (CO): 33.8 BB (VPIP: 34.55, PFR: 27.78, 3Bet Preflop: 12.50, Hands: 56)
Vasiliy55ru (BTN): 13.42 BB (VPIP: 11.32, PFR: 10.42, 3Bet Preflop: 0.00, Hands: 55)

8 players post ante of 0.13 BB, ImTheOne21 posts SB 0.5 BB, ASMP888 posts BB 1 BB

Pre Flop: (pot: 2.5 BB) ImTheOne21 has Kc 9h
fold, fold, fold, fold, R8d3k raises to 2.33 BB, fold, ImTheOne21 calls 1.83 BB, ASMP888 calls 1.33 BB

Flop : (8 BB, 3 players) As 5h Ks
ImTheOne21 checks, ASMP888 checks, R8d3k bets 3.33 BB, ImTheOne21 calls 3.33 BB, fold

Turn : (14.66 BB, 2 players) 5d
ImTheOne21 checks, R8d3k checks

River : (14.66 BB, 2 players) 3h
ImTheOne21 bets 7.33 BB, R8d3k calls 7.33 BB

ImTheOne21 shows Kc 9h (Two Pair, Kings and Fives)
(Pre 36%, Flop 18%, Turn 5%)

R8d3k shows Ad Qh (Two Pair, Aces and Fives)
(Pre 64%, Flop 82%, Turn 95%)

R8d3k wins 29.33 BB

Hi! How An A is checking there? I would have flush draws, straight draws and Kx that he could extract value from. I would have rarely a 5. I bet in the river in order to make better K to fold, since if they call we chop. Should i check fold river?

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