Triangle calculator ASA

Please enter the side of the triangle and two adjacent angles
°
°

Obtuse scalene triangle.

Sides: a = 64.27987609687   b = 32.63551822333   c = 50

Area: T = 803.4854512108
Perimeter: p = 146.9143943202
Semiperimeter: s = 73.4576971601

Angle ∠ A = α = 100° = 1.7455329252 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 50° = 0.8732664626 rad

Height: ha = 25
Height: hb = 49.24403876506
Height: hc = 32.13993804843

Median: ma = 27.37986008003
Median: mb = 55.22333263756
Median: mc = 44.42330471212

Inradius: r = 10.93881654947
Circumradius: R = 32.63551822333

Vertex coordinates: A[50; 0] B[0; 0] C[55.66770399226; 32.13993804843]
Centroid: CG[35.22223466409; 10.71331268281]
Coordinates of the circumscribed circle: U[25; 20.97774907794]
Coordinates of the inscribed circle: I[40.82217893677; 10.93881654947]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 80° = 1.7455329252 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 130° = 0.8732664626 rad

How did we calculate this triangle?

1. Calculate the third unknown inner angle 2. By using the law of sines, we calculate unknown side a 3. By using the law of sines, we calculate last unknown side b 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     