If your dog frequently sits with one hind leg extended, it could indicate several things, such as stretching, feelings of guilt or discomfort, or even being in heat. Observing your dog's appetite and bowel movements can help you identify any potential underlying issues.

1. Stretching:
Dogs that have been confined for extended periods, lack sufficient exercise, or have been sleeping in one position for too long may stretch their legs and arch their backs. This is a natural way for them to loosen up stiff muscles. It is not advisable to keep dogs, especially puppies, confined for extended durations as it can hinder bone development. However, if your dog exhibits aggression, special considerations are necessary.
2. Guilt or Embarrassment:
When dogs are caught misbehaving or feel embarrassed, they may extend their hind leg as a way to subtly mask their discomfort and guilt. This behavior may also be observed when a dog is being teased or praised, indicating a shy reaction to the attention.
3. Discomfort:
If your dog is experiencing digestive issues, you may notice them stretching more often, along with an unrelaxed facial expression. Observing your dog's bowel movements can help determine if they're facing digestive problems. Pay close attention to any changes in their stool, such as diarrhea or constipation, as these can indicate underlying issues.
4. Heat Cycle:
Female dogs experiencing their heat cycle might exhibit restlessness, pacing, licking their rear, and present their rear towards you due to discomfort. This behavior is indicative of hormonal changes and is a typical part of the estrus cycle. Monitor your dog closely for other signs of heat, such as swelling of the vulva and bloody discharge.
Observing these signs can help determine why your dog is extending their leg. Remember to provide your dog with plenty of exercise, a safe and comfortable space to relax, and contact your vet if you have concerns about their behavior or health.