Triangle values by coordinates of vertices

This online calculator is designed to quickly calculate a number of characteristics of a triangle by the coordinates of its vertices. You enter the coordinates of the vertices A, B, and C. The calculator calculates the following values ​​from the coordinates:

• the length of the side a - the side opposite to the vertex A
• the length of the side b - the side opposite to vertex B
• the length of the side c - the side opposite to vertex C
• the value of the angle α at the vertex A
• the value of the angle β at the vertex B
• the value of the angle γ at the vertex C
• the perimeter of the triangle
• area of ​​a triangle

If you need something else, write in the comments, we'll add it. The formulas for calculating triangle values ​​are described under the calculator.

Triangle values by coordinates of vertices

Vertex A

x₁

y₁

Vertex B

x₂

y₂

Vertex C

x₃

y₃

Calculation precision

Digits after the decimal point: 2

Calculate

Side a

 

Side b

 

Side c

 

Angle α

 

Angle β

 

Angle γ

 

Perimeter

 

Area

 

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Calculating a triangle by the coordinates of the vertices

The lengths of the sides are found by the formula for calculating the distance between points in Cartesian coordinates

The angles are from the formulas for the dot product of vectors at the vertices.

The perimeter is found by simply adding the lengths of the sides.

The area of ​​a triangle is found through the determinant