- #1
murrdpirate0
- 29
- 0
Here's a picture of an irregular tetrahedron, for reference:
The base triangle (ABC) is completely known (lengths AB, AC, BC, and the angles between them are all known). The 3 angles at vertex P are also known (APB, APC, and BPC).
I believe that is enough information to completely solve the rest of the lengths and angles. I used the law of sines and the 180 degree constraint for each of the 3 unknown triangles. With a bit of algebra I can get 3 equations with 3 unknowns, but they're too messy for me to solve.
If anyone can figure this out, I'd greatly appreciate it.
The base triangle (ABC) is completely known (lengths AB, AC, BC, and the angles between them are all known). The 3 angles at vertex P are also known (APB, APC, and BPC).
I believe that is enough information to completely solve the rest of the lengths and angles. I used the law of sines and the 180 degree constraint for each of the 3 unknown triangles. With a bit of algebra I can get 3 equations with 3 unknowns, but they're too messy for me to solve.
If anyone can figure this out, I'd greatly appreciate it.
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