Answer 1

Here, A(x₁, y₁) ≡ A(3, 2), B(x₂, y₂) ≡ B(–1, 5), C(x₃, y₃) ≡ C(–2, –3)

Area of a triangle = `1/2|(x_1, y_1, 1),(x_2, y_2, 1),(x_3, y_3, 1)|`

∴ A(ΔABC) = `1/2|(3, 2, 1),(-1, 5, 1),(-2, -3, 1)|`

= `1/2[3(5 + 3) - 2(-1 + 2) + 1(3 + 10)]`

= `1/2(24 - 2 + 13)`

∴ A(ΔABC) = `35/2` sq.unitts.