Determine the area of the triangle formed by the points A (-1, 2, 1), B (-1, 0, 0) and C (3, -1, 4)

Question

Determine the area of the triangle formed by the points A (-1, 2, 1), B (-1, 0, 0) and C (3, -1, 4)

Answer 1

The most straightforward method is to note that the length of AB = sqrt(5),

the length of AC = sqrt(34) and length of BC = sqrt(33)

Then the Herron formula can be used to get the area as

A = 6.34428877