Need help finding the right formula

cod8smith

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Feb 28, 2017
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So im not very good at geometry and I need to find a formula to find the angles that can be seen in the picture.
 

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So im not very good at geometry and I need to find a formula to find the angles that can be seen in the picture.
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Calculate the lengths of the sides a, b & c. Then use laws of cosines and sines to calculate the angles
 
well its for a program I am working on that calculates stl files. They contain these coordinates and I would like a formula so the output would be the requested angles. But long formulas confuse me :/

Under here is a picture I made saying the formulas that will gather the data by using the length of the sides (instead of the coordinates) can you put this into a single formula (for alpha 1/2 beta and gamma) so I can implement this in the code, using the coordinates xyz as a the only given value for the triangle?

It might be simple, but i'm not great at maths ;)
 

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What you are asking me to do is what I already did in the picture above, however the sides are not given, the coordinates are. I need a sum-up of the total formula to implement in the code for the program.
 
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