Question

Points P(1,0), Q(8,0) and R(3,4) are the vertices of a triangle. What is the area of this triangle?

Answer 1

Use a Determinant as shown in this reference.

`Area = 14`

Explanation:

Create the determinant:

#A = +-1/2| (1, 0, 1), (8,0, 1), (3,4,1) |#

`A = +-1/2(0 + 0 + 32 - 4 - 0 - 0)`

`A = 14`