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

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Kinitz Hasim
Kinitz Hasim 2017년 10월 25일
댓글: Zachary 2022년 6월 17일
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.

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Jos (10584)
Jos (10584) 2017년 10월 25일
  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 ...
  댓글 수: 2
Morgan Rory Didelin
Morgan Rory Didelin 2020년 9월 9일
But then google sends us here, like a never ending google loop.
Zachary
Zachary 2022년 6월 17일
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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