Area of Triangle (three points)

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A = | \frac{X_{3} \cdot Y_{2} + Y_{3} \cdot X_{1} + Y_{1} \cdot X_{2} - Y_{2} \cdot X_{1} - Y_{3} \cdot X_{2} - X_{3} \cdot Y_{1}}{2} |

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

(P_{1}) X and Y coordinates of Point 1

$(P_1)"X and Y coordinates of Point 1"$

(P_{2}) X and Y coordinates of Point 2

$(P_2)"X and Y coordinates of Point 2"$

(P_{3}) X and Y coordinates of Point 3

$(P_3)"X and Y coordinates of Point 3"$

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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.

A triangle is a polygon with three sides, three vertices (corners), and three angles. Triangles can be classified based on the lengths of their sides and the measures of their angles as follows:

By Side Lengths:

Equilateral Triangle: All three sides are equal in length.
Isosceles Triangle: Two sides are equal in length.
Scalene Triangle: All three sides have different lengths.

By Angle Measures:

Acute Triangle: All three angles are less than 90 degrees.
Right Triangle: One angle is exactly 90 degrees.
Obtuse Triangle: One angle is greater than 90 degrees.

The sum of the interior angles of any triangle always adds up to 180 degrees.

Area of Triangle (three points)

Triangle Calculators