Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 550   b = 952.6287944163   c = 1100

Area: T = 261972.6854645
Perimeter: p = 2602.628794416
Semiperimeter: s = 1301.314397208

Angle ∠ A = α = 30° = 0.52435987756 rad
Angle ∠ B = β = 60° = 1.04771975512 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 952.6287944163
Height: hb = 550
Height: hc = 476.3143972081

Median: ma = 991.5276600753
Median: mb = 727.5821610543
Median: mc = 550

Inradius: r = 201.3143972081
Circumradius: R = 550

Vertex coordinates: A[1100; 0] B[0; 0] C[275; 476.3143972081]
Centroid: CG[458.3333333333; 158.7711324027]
Coordinates of the circumscribed circle: U[550; 0]
Coordinates of the inscribed circle: I[348.6866027919; 201.3143972081]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150° = 0.52435987756 rad
∠ B' = β' = 120° = 1.04771975512 rad
∠ C' = γ' = 90° = 1.57107963268 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     