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`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 (P_{1} , P_{2} , P_{3}).

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

- (
**P**X and Y coordinates of vertex point 1_{1}) - (
**P**X and Y coordinates of vertex point 2_{2}) - (
**P**X and Y coordinates of vertex point 3_{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 (base and height)
- Area of Triangle (two sides and interior angle)
- Area of Triangle (two angles and interior side)
- Area of Triangle (three sides)
- Area of Equilateral Triangle
- Area of Triangle (three points)
- Height of Triangle
- Width of Triangle
- Triangle Perimeter
- Interior Angle of a triangle based on the length of three sides
- Semi-perimeter of a triangle
- Area of Circle Within a Triangle
- Area of Circle Around a Triangle
- Area between two vectors
- Triangle Volume