Triangle calculator ASA

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

Obtuse scalene triangle.

Sides: a = 914.7565849435   b = 1127.997724193   c = 520

Area: T = 234223.2549686
Perimeter: p = 2562.753309136
Semiperimeter: s = 1281.377654568

Angle ∠ A = α = 53° = 0.92550245036 rad
Angle ∠ B = β = 100° = 1.7455329252 rad
Angle ∠ C = γ = 27° = 0.4711238898 rad

Height: ha = 512.1100031566
Height: hb = 415.2990465225
Height: hc = 900.8598652637

Median: ma = 749.7966187558
Median: mb = 485.2787948799
Median: mc = 993.468767483

Inradius: r = 182.7990336279
Circumradius: R = 572.6999208792

Vertex coordinates: A[520; 0] B[0; 0] C[-158.8465686264; 900.8598652637]
Centroid: CG[120.3854771245; 300.2866217546]
Coordinates of the circumscribed circle: U[260; 510.2798731431]
Coordinates of the inscribed circle: I[153.3799303755; 182.7990336279]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127° = 0.92550245036 rad
∠ B' = β' = 80° = 1.7455329252 rad
∠ C' = γ' = 153° = 0.4711238898 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     