Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 5.09990195136   b = 5.83109518948   c = 10.77703296143

Area: T = 5
Perimeter: p = 21.77003010227
Semiperimeter: s = 10.85501505114

Angle ∠ A = α = 9.16223470457° = 9°9'44″ = 0.16599131232 rad
Angle ∠ B = β = 10.49114770123° = 10°29'29″ = 0.18331108173 rad
Angle ∠ C = γ = 160.3466175942° = 160°20'46″ = 2.79985687132 rad

Height: ha = 1.96111613514
Height: hb = 1.71549858514
Height: hc = 0.92884766909

Median: ma = 8.27664726786
Median: mb = 7.90656941504
Median: mc = 1

Inradius: r = 0.46108231005
Circumradius: R = 16.01112460477

Vertex coordinates: A[0; -2] B[-4; 8] C[-3; 3]
Centroid: CG[-2.33333333333; 3]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[2.48884447429; 0.46108231005]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.8387652954° = 170°50'16″ = 0.16599131232 rad
∠ B' = β' = 169.5098522988° = 169°30'31″ = 0.18331108173 rad
∠ C' = γ' = 19.65438240581° = 19°39'14″ = 2.79985687132 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     