Area of triangle using determinants (Area = (1/2)|x₁(y₂−y₃) + x₂(y₃−y₁) + x₃(y₁−y₂)|)

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Area = (1/2)|x₁(y₂−y₃) + x₂(y₃−y₁) + x₃(y₁−y₂)|

What each symbol means

SymbolWhat it stands for
(x₁,y₁),(x₂,y₂),(x₃,y₃)Vertices of the triangle

When to use this

Points must be non-collinear for non-zero area. If area = 0, points are collinear.