Determining the Top triangle of a Pentagram
I bet this will stump you,
Given 5 outer points (x,y) of a five sided star:
|-23.0000 ||17.3200 |
|-11.3676 ||24.2994 |
|-33.3421 ||26.0574 |
|-11.6912 ||16.0979 |
|-17.4368 ||26.5549 |
and 5 inner points of the pentagon within it:
|-18.4540 ||24.8663 |
|-19.2453 ||19.5728 |
|-16.4195 ||24.7036 |
|-21.1226 ||20.4364 |
|-15.0000 ||22.1200 |
I want to determine the outer point that is opposite the pentagon corner angle that is closest to 90 degrees. In other words, I want the outer point of the triangle that makes the pentagon resemble a diamond.
How do I do that using formulae?
Re: Determining the Top triangle of a Pentagram
Hint: The equation for a line in 2D is y = mx + b and two lines are perpendicular if m1*m2 = -1.
Now you need to just get the equations for two perpendicular lines using your constraints and solve for the m's and b's.