# 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.

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#### Explanation

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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

A(1,5,0)

B(6,10,-3)

C(-4,5,-2)

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

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