Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 6.70882039325   b = 6.32545553203   c = 12.04215945788

Area: T = 15
Perimeter: p = 25.07443538316
Semiperimeter: s = 12.53771769158

Angle ∠ A = α = 23.19985905136° = 23°11'55″ = 0.40548917863 rad
Angle ∠ B = β = 21.80114094864° = 21°48'5″ = 0.38105063771 rad
Angle ∠ C = γ = 135° = 2.35661944902 rad

Height: ha = 4.4722135955
Height: hb = 4.74334164903
Height: hc = 2.49113643956

Median: ma = 9.01438781887
Median: mb = 9.22195444573
Median: mc = 2.5

Inradius: r = 1.19664415993
Circumradius: R = 8.5154693183

Vertex coordinates: A[-2; 6] B[6; -3] C[0; 0]
Centroid: CG[1.33333333333; 1]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[2.99111039983; 1.19664415993]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.8011409486° = 156°48'5″ = 0.40548917863 rad
∠ B' = β' = 158.1998590514° = 158°11'55″ = 0.38105063771 rad
∠ C' = γ' = 45° = 2.35661944902 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     