Triangle Combination: Legal & Illegal Combos

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SUMMARY

The discussion centers on the conditions necessary for three lengths to form a valid triangle, specifically addressing the triangle inequality theorem. The theorem states that for any three sides a, b, and c, the sum of the lengths of any two sides must be greater than the length of the remaining side. The user also highlights the importance of ensuring that points are not collinear when working with coordinates. These principles are crucial for developing functions that validate triangle combinations in programming.

PREREQUISITES
  • Understanding of the triangle inequality theorem
  • Basic programming skills for implementing validation functions
  • Familiarity with geometric concepts such as collinearity
  • Knowledge of coordinate systems if working with points
NEXT STEPS
  • Research the triangle inequality theorem in-depth
  • Learn how to implement validation functions in programming languages like Python or Java
  • Study geometric properties of points and lines, focusing on collinearity
  • Explore algorithms for checking valid triangle combinations in computational geometry
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Software developers, mathematicians, and educators involved in teaching geometry or developing applications that require geometric validation.

brad sue
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HI ,
I don't know where to post my question. sorry if it is not in the correct forum.

I am working on a program and one of the instruction say this:
(Prior we have to know that a,b,c are the sides of a triangle)

"Note that not all combination of a,b,c produce a triangle.
Your function should produce correct results for legal data and reasonable results for illegal combinations"

I did not know that there can be bad combination for a triangle.
What is this bad combination?

thank you
B.
 
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Try to draw a triangle whose sides are 1, 2, and 4.
 
Well, c must be less than a + b, if that's what you ment..Or, if you're working with points (coordinates), three points mustn't be colinear.
 

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