Should I have bet this river?

[SoCalRugger]

Absolute Poker 2/4 Hold'em (9 handed) converter

Preflop: Hero is BB with K[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/spade.gif[/img].
<font color="#666666">6 folds</font>, Button calls, SB completes, <font color="#CC3333">Hero raises</font>, Button calls, SB calls.

Flop: (6 SB) 5[img]/images/graemlins/heart.gif[/img], 4[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, <font color="#CC3333">Hero bets</font>, Button calls, SB calls.

Turn: (4.50 BB) Q[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, <font color="#CC3333">Hero bets</font>, Button calls, SB calls.

River: (7.50 BB) T[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, <font color="#CC3333">Hero bets</font>, Button calls, <font color="#CC3333">SB raises</font>, Hero calls, Button calls.

Final Pot: 13.50 BB

Results in white below: <font color="#FFFFFF">
SB has Ac Jh (straight, ace high).
Hero has Kh Ks (three of a kind, kings).
Button doesn't show.
Outcome: SB wins 13.50 BB. </font>

I just went through a sick session, losing five 12BB+ pots in an hour and half where, looking back, I was a 97% favorite on the flop. So I'm curious if the river was played correctly, or if it's tilt beginning to rear it's ugly head. It's a pretty ugly river card...

[istewart]

Yep. Nice hand.

[private joker]

I play it exactly the same way. The fact that people make runner-runner straights to beat top set is why we make money in poker; they keep chasing...

[Stellastarr]

I'd play it the same.