You're not sure what to do and that's understandable. 10 years is a long time to have a partner and your lives are entwined and there is love and there has been love in that time. There are also shared memories, goals, finances, home, bed, friends, dreams.
Statistically, strangulation is an indicator of his potential to murder. It's one of the biggest indicators.
I'm not going to tell you what to do. You need to decide for you what is right. You can do anything you like.
Ask yourself a few questions:
Can I leave him?
Do I want to leave him?
What might prevent me from leaving him?
Have I altered my personality or my behaviour to placate him?
Am I happy?
What will happen if I stay?
What will happen if I leave?
When you've answered those questions, if your decision is to stay, please do so with caution. If however, you feel that you wish to leave the relationship, I would do so while exercising extreme caution and preferably with advice from an organisation such as Women's Aid and/or police. The reason for that is because 1. strangulation is a strong indicator of potential to murder and 2. the most dangerous time for a woman in an abusive relationship is when she tries to leave and soon thereafter.
I wish you the best in your decision making.