How do you find the area of a triangle whose vertices of triangle are (2,0,0) ; (0,3,0) ; (0,0,5)?
2 Answers
Explanation:
The most general way to find the area of a triangle given three or more dimensional coordinates is to use Archimedes' Theorem. A triangle with squared sides
Here we have
Given the coordinates of the vertices of a triangle.
Use the points to make two vectors,
Compute the cross-product
Explanation:
Compute the vector from
Compute the vector from
This reference tells you how to compute the Cross product.
The cross product
The magnitude of
The area of the triangle is half of the magnitude: