Question

Find the area of a triangle with vertices at the point given in the following:

(1, 0), (6, 0), (4, 3)

Answer 1

Area of ​​the triangle passing through the vertices (x₁, y₁), (x₂, y₂), (x₃, y₃),

Δ = `1/2 |(x_1,y_1,1),(x_2,y_2,1),(x_3,y_3,1)|`

The area of triangle is given by,

Δ = `1/2 abs((1,0,1),(6,0,1),(4,3,1))`

= `1/2 [1 (0 - 3) - 0 (6 - 4) + 1 (18 - 0)]`

= `1/2 [-3 + 18]`

= `15/2`

= 7.5 sq. units