How much to bet on river with the nuts?

[Dislexsik]

Not sure how much to bet on te river,villain was a 38/2.
I was thinking about betting half of the pot but maybe that would make him lay down his TP if he had one.He could have had DP aswell.
Anyway,how much should i bet on this river?

Party Poker No-Limit Hold'em, $ BB (10 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

BB ($56.40)
UTG ($86)
UTG+1 ($27.20)
UTG+2 ($51.31)
MP1 ($56.98)
MP2 ($88.16)
MP3 ($115.37)
Hero ($49.90)
Button ($69)
SB ($20.87)

Preflop: Hero is CO with 4, 4. SB posts a blind of $0.25.
1 fold, UTG+1 calls $0.50, UTG+2 calls $0.50, MP1 raises to $1.89, MP2 calls $1.89, 1 fold, Hero calls $1.89, 3 folds, UTG+1 folds, UTG+2 calls $1.39.

Flop: ($8.81) 2, 4, K (4 players)
UTG+2 checks, MP1 bets $3.3, MP2 folds, Hero calls $3.30, UTG+2 calls $3.30.

Turn: ($18.71) 3 (3 players)
UTG+2 checks, MP1 checks, Hero bets $9, UTG+2 calls $9, MP1 folds.

River: ($36.71) 4 (2 players)
UTG+2 checks, Hero bets $10, UTG+2 folds.

Final Pot: $46.71

[WhooFleuryScores]

Raise flop-the bet on turn sends fear into them.THe river bet crying for a clal indicates the monster.

[LimpinAintEZ]

sometimes they just won't call you - They call $9 on turn, then $10 on the river seems like a good amount...Sometimes we just don't get paid off. Underbetting and overbetting that river both seem fishy, but the 4 either gives you a monster, or the same kinda Kx hand they had to call the turn with...That $10 seems about perfect for a value call....

[Fnord]

I push.

[Chicago_Kid]

I push.

Initially, this might sound rediculous, but I can't count the times that I've bet for value and some passive station is sitting on a pretty solid hand like TTP-GK, or a smaller boat, and calls. The more LAGGY your image, the better.

[Lukie]

More on the turn, all-in on the river.