Find the area of a parallelogram with vertices A(1,5,0), B(6,10,−3), C(−4,5,−2), and D(1,10,−5)? Show steps.
Note that it doesn't matter whether the parallelogram is formed by the vertices A, B, C, D in this order or by the vertices A, B, D. C in this order, any diagonal of the parallelogram divides it in two triangles with equal areas. Then
Repeating the coordinates of the points of
Obtaining sides of the triangle ABC:
Using Heron's Formula
Triangle ABC (
Other way to find the area of the kind of triangle involved in this question is described in:
when the triangle is embedded in three-dimensional space