Triangle calculator VC

Please enter the coordinates of the three vertices

Acute scalene triangle.

Sides: a = 9.89994949366   b = 5.38551648071   c = 9.22195444573

Area: T = 24.5
Perimeter: p = 24.5044204201
Semiperimeter: s = 12.25221021005

Angle ∠ A = α = 80.72773982228° = 80°43'39″ = 1.40989588956 rad
Angle ∠ B = β = 32.47111922908° = 32°28'16″ = 0.56767292175 rad
Angle ∠ C = γ = 66.80114094864° = 66°48'5″ = 1.16659045405 rad

Height: ha = 4.95497474683
Height: hb = 9.09990715707
Height: hc = 5.31547962166

Median: ma = 5.70108771255
Median: mb = 9.17987798753
Median: mc = 6.5

Inradius: r = 21.9996568588
Circumradius: R = 5.01552827662

Vertex coordinates: A[6; 3] B[-3; 5] C[4; -2]
Centroid: CG[2.33333333333; 2]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[3.1422317921; 21.9996568588]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 99.27326017772° = 99°16'21″ = 1.40989588956 rad
∠ B' = β' = 147.5298807709° = 147°31'44″ = 0.56767292175 rad
∠ C' = γ' = 113.1998590514° = 113°11'55″ = 1.16659045405 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     