Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 6.32545553203   b = 8.6022325267   c = 3.16222776602

Area: T = 8
Perimeter: p = 18.08991582475
Semiperimeter: s = 9.04545791238

Angle ∠ A = α = 36.02773733851° = 36°1'39″ = 0.62987962864 rad
Angle ∠ B = β = 126.8769897646° = 126°52'12″ = 2.21442974356 rad
Angle ∠ C = γ = 17.10327289691° = 17°6'10″ = 0.29884989316 rad

Height: ha = 2.53298221281
Height: hb = 1.86599622199
Height: hc = 5.06596442563

Median: ma = 5.65768542495
Median: mb = 2.55495097568
Median: mc = 7.38224115301

Inradius: r = 0.88545077135
Circumradius: R = 5.37664532919

Vertex coordinates: A[-4; -2] B[-3; -5] C[3; -7]
Centroid: CG[-1.33333333333; -4.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0.66333807851; 0.88545077135]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.9732626615° = 143°58'21″ = 0.62987962864 rad
∠ B' = β' = 53.13301023542° = 53°7'48″ = 2.21442974356 rad
∠ C' = γ' = 162.8977271031° = 162°53'50″ = 0.29884989316 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     