What are some methods for calculating point positions in a geometric chassis?

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To calculate point positions in a geometric chassis made of three triangles, knowing the side lengths and angles is essential. The user has attempted using sine and cosine methods but struggles due to an unknown distance, referred to as M. Alternative approaches, such as considering circumferences and finding intersection points, have also been explored without success. Suggestions for solving this geometric problem are sought, particularly methods that can incorporate the unknown distance effectively. Finding a reliable method to determine the spatial coordinates of the structure's points remains the primary objective.
SteveJK
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Hi,

I'm trying to calculate the position of the points from a struture like the picture attached. This is a mechanic structure that consist on 3 triangles (blue, orange and green), i know all the triangles sides lengths and also their angles (and some more colored in green). My objective is to find the spatial position (x, y coordinates) of any the points of the structure.

I tried to solve it using sinus and cosinus methods, but i can't find the solution because i always crash with the M distance because it is unknown. I tried another methods but without success...

Any suggestion or method to try?
Thanks!
 

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Hi again, i also tried thinking like circumferences, and finding their crossing points.
 

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