How to rotate a triangle in an equation

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SUMMARY

This discussion focuses on the mathematical process of rotating a triangle defined by the inequalities -3/4 PREREQUISITES

  • Understanding of coordinate geometry
  • Familiarity with rotation matrices
  • Knowledge of trigonometric functions (sine and cosine)
  • Basic concepts of triangle properties and centroids
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  • Explore examples of rotating geometric shapes in coordinate geometry
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Mathematicians, geometry enthusiasts, students studying coordinate transformations, and anyone interested in geometric manipulations of shapes.

tomallan
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Hi,

i have a set of definition for a triangle shape:

-3/4<x<3/4

-x/sqrt(3) + sqrt(3)/4 < y < x/sqrt(3) +sqrt(3)/4

The centroid of this triangle is at 0,0

i want to rotate this triangle by a certain degree from the centroid but i am not sure how, because if i just multiply it by cos or sin of the angle, it will just become smaller.

any hints will be appreciated.
 
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Any point can be rotated around the origin by rotating the coordinate system.
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