Triangle vertices
Calculator and formulas for calculating angles of triangle vertices with 3 points
This function calculates the angles, the area and the side lengths of a triangle that is defined in the coordinate system. Enter the values of the x / y coordinates of the three vertices. Then click on the 'Calculate' button.
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Formulas for triangle vertices calculation
Area (A)
\(\displaystyle A= \frac{1}{2}|[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]|\)
Side length (a)
\(\displaystyle a=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)
Side length (b)
\(\displaystyle b=\sqrt{(x_2-x_3)^2+(y_2-y_3)^2}\)
Side length (c)
\(\displaystyle c=\sqrt{(x_3-x_1)^2+(y_3-y_1)^2}\)
Perimeter (P)
\(\displaystyle P=a+b+c\)
Angle (α)
\(\displaystyle α=arccos\left(\frac{b^2+c^2-a^2}{2bc}\right)\)
Angle (β)
\(\displaystyle β=arccos\left(\frac{a^2+c^2-b^2}{2ac}\right)\)
Angle (γ)
\(\displaystyle γ=arccos\left(\frac{a^2+b^2-c^2}{2ab}\right)\)
Bisector of a triangle
Equilateral triangle
Right triangles
Right triangle, given 1 side and 1 angle
Isosceles right triangles
Isosceles triangles
Triangle area, given 2 sides and 1 anglee
Triangle area, given 1 side and 2 angles
Triangle, Incircle, given 3 sides
Area of a triangle given base and height
Triangle vertices, 3 x/y points
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