Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 4.12331056256   b = 3.60655512755   c = 6.32545553203

Area: T = 7
Perimeter: p = 14.05332122214
Semiperimeter: s = 7.02766061107

Angle ∠ A = α = 37.87549836511° = 37°52'30″ = 0.66110431689 rad
Angle ∠ B = β = 32.47111922908° = 32°28'16″ = 0.56767292175 rad
Angle ∠ C = γ = 109.6543824058° = 109°39'14″ = 1.91438202672 rad

Height: ha = 3.39554987505
Height: hb = 3.88329013736
Height: hc = 2.21435943621

Median: ma = 4.7176990566
Median: mb = 5.02549378106
Median: mc = 2.23660679775

Vertex coordinates: A[1; 4] B[3; -2] C[4; 2]
Centroid: CG[2.66766666667; 1.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.5655478387; 0.9966213519]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.1255016349° = 142°7'30″ = 0.66110431689 rad
∠ B' = β' = 147.5298807709° = 147°31'44″ = 0.56767292175 rad
∠ C' = γ' = 70.34661759419° = 70°20'46″ = 1.91438202672 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    