Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 16.76330546142   b = 7.61657731059   c = 19.10549731745

Area: T = 63.5
Perimeter: p = 43.48438008946
Semiperimeter: s = 21.74219004473

Angle ∠ A = α = 60.79224035289° = 60°47'33″ = 1.06110276018 rad
Angle ∠ B = β = 23.36330305938° = 23°21'47″ = 0.40877618071 rad
Angle ∠ C = γ = 95.84545658774° = 95°50'40″ = 1.67328032447 rad

Height: ha = 7.57661848257
Height: hb = 16.67659169732
Height: hc = 6.64774838169

Median: ma = 11.8854864324
Median: mb = 17.56441680703
Median: mc = 8.84659030065

Inradius: r = 2.92106278519
Circumradius: R = 9.60224017523

Vertex coordinates: A[-10; -3] B[9; -1] C[-7; 4]
Centroid: CG[-2.66766666667; 0]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[6.76111384918; 2.92106278519]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 119.2087596471° = 119°12'27″ = 1.06110276018 rad
∠ B' = β' = 156.6376969406° = 156°38'13″ = 0.40877618071 rad
∠ C' = γ' = 84.15554341226° = 84°9'20″ = 1.67328032447 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     