Question

Find the area of the triangle with vertices at the point given is (1, 0), (6, 0), (4, 3).

Options

• `47/2` square units

• 15 square units

• `15/2` square units

• 20 square units

Answer 1

`15/2` square units

Explanation:

The relation gives the area of a triangle with vertices (1, 0), (6, 0), and (4, 3).

Δ = `1/2 |(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` sq.units.