`A = | (X_3*Y_2+Y_3*X_1+Y_1*X_2 - Y_2*X_1 - Y_3*X_2-X_3*Y_1)/2 |`

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The Area of a Triangle Based on Three Defined Points in a Plane calculator computes the area of a triangle given the coordinates (X_i, Y_i) of the triangle’s three vertices (P₁ , P₂ , P₃).

INSTRUCTIONS:  Enter the x and y coordinates of the triangle’s three vertices:

• (P₁) X and Y coordinates of vertex point 1
• (P₂) X and Y coordinates of vertex point 2
• (P₃) X and Y coordinates of vertex point 3

AREA (A): The calculator computes the area or the triangle.  Note: the units would be equal to those of the coordinates.

Triangle Calculators

• Area of a triangle base on the base and height
• Area of a triangle using two sides and the interior angle.
• Area of a triangle using two angles and the interior side.
• Area of a triangle using three known sides.
• Area of a triangle defined by three points (x,y) in a plane.
• Height of a triangle based on the area and base
• Interior Angle of a triangle based on the length of three sides
• Semi-perimeter of a triangle
• Area between two vectors
• Compute the Distance Between a Point and a Line
• Compute the area of a triangle defined by three points
• Compute the distance between two points
• Compute the slope intercept form of a line from two points
• Compute the mid-point between two points