NL25 - TT vs loose opp on a double paired board

[reemas]

opponent was loose semi aggressive at 40/22 after 40 hands. i wasn't sure where i stood and the river looked like a value bet to me. analysis?

Poker Stars, $0.10/$0.25 NL Hold'em Cash Game, 5 Players
LeggoPoker.com - Hand History Converter

BTN: $15.35
SB: $21.45
BB: $25.25
UTG: $31.35
Hero (CO): $24.65

Pre-Flop: T[img]/images/graemlins/spade.gif[/img] T[img]/images/graemlins/diamond.gif[/img] dealt to Hero (CO)
UTG folds, <font color="red">Hero raises to $1</font>, BTN calls $1, SB folds, BB calls $0.75

Flop: ($3.10) 9[img]/images/graemlins/club.gif[/img] K[img]/images/graemlins/club.gif[/img] 6[img]/images/graemlins/heart.gif[/img] (3 Players)
BB checks, <font color="red">Hero bets $2.15</font>, BTN calls $2.15, BB folds

Turn: ($7.40) 9[img]/images/graemlins/diamond.gif[/img] (2 Players)
Hero checks, BTN checks

River: ($7.40) K[img]/images/graemlins/spade.gif[/img] (2 Players)
Hero checks, <font color="red">BTN bets $3</font>, Hero ?