Triangle is fixed with dimensions, no scaling can be used. Basically this problem consists of on translation along 1 and 1 rotation to fulfil B, C lie on 3. But i dont see how this can be done manually without constraint solver.
If you can recreate the triangle and curves in Solvespace, I think you may get your answer from it. Ive used it for resolving similar problems. And itâs freeâŚ
Admittedly the interface isnât currently very intuitive and requires a lot of clicking, but weâre aware of the issue and are aiming to improve this.
I tried it now, the first way i described is possible but with the second which requires perpendicular distances to curves it is not possible. This could be a useful constraint. Perp to curve or distance between point and curve (perp distance). The problem may arise i dont think there is strictly one solution then.