Calculate 3D triangle area by determinant Ask Question Asked 8 years, 9 months ago Modified 8 years, 9 months ago

Apr 7, 2012 · I have coordinates of 3d triangle and I need to calculate its area. I know how to do it in 2D, but don't know how to calculate area in 3d. I have developed data as follows. …

I have to find the area of a triangle whose vertices have coordinates O$(0,0,0)$, A$(1,-5,-7)$ and B$(10,10,5)$ I thought that perhaps I should use the dot product to find the angle between the ...

Oct 18, 2017 · And it does not change the area of the triangle, because it corresponds to a translation, namely the translation of vector $- (x_1,y_1)$ which sends the first vertex of the …

Jan 26, 2023 · I found a lot of resources of finding the area with $3D$ vectors, but none for $2D$. In this case, I'm not able to follow the steps of finding the cross product first, then magnitude …

27 Area of a Triangle from the Medians A triangle is divided in to $6$ equal areas by its medians: $\hspace {2cm}$ In the case where the two blue triangles share a common side of the triangle, …

Apr 3, 2014 · 0 One way to do it would be to first find out the length of each of the 3 sides, by simply applying Pythagorus. e.g. AB = $\sqrt { (2-0)^2 + (1-1)^2 + (4-3)^2}=\sqrt5$ You can do …

To find the area of the triangle I used the dot product between these vectors to get the angle and then applied the formula $A=0.5ab\sin {C}$ to find the area of the triangle which gave me …

Here's an approach that doesn't require any ingenuity or case analysis. Use the Sutherland-Hodgman algorithm to clip one triangle against the other, yielding a (possibly degenerate) …

Oct 25, 2013 · 2 I can find the area of a triangle with known vertices but the problem here is that the question is general: I have to use double integral to prove that the area of the triangle is: