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 ...

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 …

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 …

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, …

Oct 18, 2017 · The area of the triangle will be some combination (sum and difference) of the areas of the trapezoids $\square ABB^\prime A^\prime$, $\square BCC^\prime B^\prime$, $\square CAA^\prime …

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

Jan 19, 2018 · Observe that the first two triangles cover $\triangle {ABC}$, but they also include the excess yellow area of $\triangle {OAC}$. However, the latter’s vertices are traversed clockwise in the …

The area of this triangle can be represented as the sum of three area vectors where each vector corresponds to the projections of the given triangle in each of the three planes XY, YZ and ZX …

Jun 8, 2013 · If perimeter of a triangle is $2d$, what is the length of sides so the triangle has maximal area? I found some solution using circle and angles, but I think I have to use derivatives. I need ...

27 Area of a Triangle from the Medians A triangle is divided in to 6 6 equal areas by its medians: In the case where the two blue triangles share a common side of the triangle, it is pretty simple to see they …