For a right angle triangle in 3D space, if I have
- Hypotenuse start and end 3D coordinates
- 3D plane definition
- Lengths of two sides (other that hypotenuse) known
How can I calculate the 3rd 3D coordinate?
Third 3D coordinate of right angle triangle
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Based on intersection of two circles on same plane, we can find those points
Refer... Circle-circle intersection in 3D
And related code https://gist.github.com/herzig/cc5833f6b4b4c0ac1e314bb16cb94dc3
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Upon some more study on my question again ... found that Thales' theorem suit for my question and there wouldn't be only one solution. But if I know length of two sides, then probably answers could to two possible coodinates. But, Not sure how to find that 3rd coordinate. Please advise if way out