Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 949.7177444146   b = 445.6854850611   c = 504.0844356151

Area: T = 2349.839852
Perimeter: p = 1899.487665091
Semiperimeter: s = 949.7433325454

Angle ∠ A = α = 178.8011353189° = 178°48'5″ = 3.12106723202 rad
Angle ∠ B = β = 0.56224708082° = 0°33'45″ = 0.01098169675 rad
Angle ∠ C = γ = 0.63661760032° = 0°38'10″ = 0.01111033659 rad

Height: ha = 4.94985002818
Height: hb = 10.54548435897
Height: hc = 9.32331955776

Median: ma = 29.61876663665
Median: mb = 726.8932966261
Median: mc = 697.6921798261

Inradius: r = 2.47441827155
Circumradius: R = 22700.08656999

Vertex coordinates: A[-66.265; 412.3] B[-99.311; 915.3] C[-46.357; -32.94]
Centroid: CG[-70.64443333333; 431.5533333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[252.023316513; 2.47441827155]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 1.19986468113° = 1°11'55″ = 3.12106723202 rad
∠ B' = β' = 179.4387529192° = 179°26'15″ = 0.01098169675 rad
∠ C' = γ' = 179.3643823997° = 179°21'50″ = 0.01111033659 rad

How did we calculate this triangle?

1. We compute side a from coordinates using the Pythagorean theorem 2. We compute side b from coordinates using the Pythagorean theorem 3. We compute side c from coordinates using the Pythagorean theorem Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 4. The triangle circumference is the sum of the lengths of its three sides 5. Semiperimeter of the triangle 6. The triangle area using Heron's formula 7. Calculate the heights of the triangle from its area. 8. Calculation of the inner angles of the triangle using a Law of Cosines     