Triangle calculator ASA

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

Obtuse scalene triangle.

Sides: a = 2581.268813827   b = 3164.252157518   c = 800

Area: T = 779243.117723
Perimeter: p = 6545.521971345
Semiperimeter: s = 3272.765985672

Angle ∠ A = α = 38° = 0.66332251158 rad
Angle ∠ B = β = 131° = 2.28663813201 rad
Angle ∠ C = γ = 11° = 0.19219862177 rad

Height: ha = 603.7687664178
Height: hb = 492.5299180261
Height: hc = 1948.108779308

Median: ma = 1913.245533584
Median: mb = 1071.611121358
Median: mc = 2859.671071816

Inradius: r = 238.1099693025
Circumradius: R = 2096.337722567

Vertex coordinates: A[800; 0] B[0; 0] C[-1693.464426836; 1948.108779308]
Centroid: CG[-297.8211422786; 649.3699264358]
Coordinates of the circumscribed circle: U[400; 2057.822160639]
Coordinates of the inscribed circle: I[108.5088281546; 238.1099693025]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142° = 0.66332251158 rad
∠ B' = β' = 49° = 2.28663813201 rad
∠ C' = γ' = 169° = 0.19219862177 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     