How to find the area of a triangle given 3 vertices?

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By using MATLAB find the area of the triangle with vertices (3,1,0), (1,1,1) and (0, -2,-1).
I tried using polyarea, sounds good, doesn't work, never gonna happen.

Accepted Answer

Jos (10584)
Jos (10584) on 25 Oct 2017
  1. Pick one vertex, let say V1, as "origin"
  2. Get the two vectors of from this point to the other two points (V2-V1) and (V3-V1)
  3. Calculate the cross product between these two vectors
  4. The magnitude of this cross product is half the size of your triangle
More info? Google is your friend ...
  2 Comments
Morgan Rory Didelin
Morgan Rory Didelin on 9 Sep 2020
But then google sends us here, like a never ending google loop.
Zachary
Zachary on 17 Jun 2022
The magnitude of the cross product is twice the area of the triangle (meaning you need to divide the cross product by 2), i think you just misspoke, but wanted to clarify in case anyone was genuinely lost, mathwise.

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