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Home/Mathematics/Coordinate Geometry/Area of Triangle from Coordinates Calculator
Math CalculatorCoordinate Geometry

Area of Triangle from Coordinates Calculator

Calculate the area of a triangle given the coordinates of its three vertices using the coordinate geometry (shoelace) formula.

Updated 2025-01-153 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

x-coordinate of the first vertex

y-coordinate of the first vertex

x-coordinate of the second vertex

y-coordinate of the second vertex

x-coordinate of the third vertex

y-coordinate of the third vertex

Formula & Methodology

How this calculator works

A = |x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)| / 2

The shoelace formula computes the area of a polygon from vertex coordinates. For a triangle, it uses the three vertices and returns a non-negative area value.

Frequently Asked Questions

Common questions about this calculator

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