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. (119.91227722167969, …

@JeanMarie How can we show that the volume is given by the absolute value of the determinant? The same answer here: we should check the axioms of volume, namely multiplication by scalars, sums of …

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, it is …

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 6, 2013 · Heron's formula is inefficient; there is in fact a direct formula. If the triangle has one vertex at the origin, and the other two vertices are $ (a,b)$ and $ (c,d)$, the formula for its area is $$ A = …

Finding area of a triangle with integrals Ask Question Asked 13 years, 10 months ago Modified 13 years, 10 months ago

Feb 7, 2019 · I am trying to figure out the area of the triangle in the image provided. I understood why they took the magnitude of the normal vector as it gives the length of the height of the triangle. …

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 and finally, the …

Jan 1, 2018 · The problem is that the formula I know would compute me the volume of the triangle. The formula is the determinant of $ ( [A] [B] [C])$ where $ [V]$ represents V in the standard base.

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 this for all of …