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

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SUMMARY

The discussion focuses on calculating the spatial positions of points in a geometric chassis composed of three triangles with known side lengths and angles. The user has attempted to use trigonometric methods, specifically sine and cosine, but has encountered difficulties due to an unknown distance (M). Alternative approaches, such as using circumferences to find intersection points, have also been explored without success. The conversation seeks effective methods to resolve these geometric calculations.

PREREQUISITES
  • Understanding of trigonometry, specifically sine and cosine functions.
  • Familiarity with geometric principles related to triangles.
  • Knowledge of coordinate systems for spatial positioning.
  • Basic skills in solving systems of equations.
NEXT STEPS
  • Research methods for solving systems of equations in geometry.
  • Explore the Law of Cosines for triangle calculations.
  • Learn about geometric intersection algorithms for circumferences.
  • Investigate the use of vector mathematics in spatial positioning.
USEFUL FOR

Engineers, mathematicians, and students involved in mechanical design or geometric analysis who need to calculate point positions in complex structures.

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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