I'd hang the drapes on the left from where the wall meets the ceiling down to the floor. I'd then hang them on the high wall at the same height as the short wall and have them down to the floor.

Drapes on the peaked portion would be inoperable. they'd drag on the floor when opening because they'd be so long at the middle.

I agree with Annie. It will look far more balanced.

Thank you all. Although I have to give in to my husband, I'm glad I sought out your advice

I have done drapes in a similar room exactly as described by Annie.