Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 909.9022128364   b = 243.8087540487   c = 942

Area: T = 110920.5
Perimeter: p = 2095.710966885
Semiperimeter: s = 1047.855483443

Angle ∠ A = α = 75° = 1.3098996939 rad
Angle ∠ B = β = 15° = 0.26217993878 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 243.8087540487
Height: hb = 909.9022128364
Height: hc = 235.5

Median: ma = 516.161139685
Median: mb = 918.0321814482
Median: mc = 471

Inradius: r = 105.8554834425
Circumradius: R = 471

Vertex coordinates: A[942; 0] B[0; 0] C[878.8987965183; 235.5]
Centroid: CG[606.9665988394; 78.5]
Coordinates of the circumscribed circle: U[471; 0]
Coordinates of the inscribed circle: I[804.0477293939; 105.8554834425]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 105° = 1.3098996939 rad
∠ B' = β' = 165° = 0.26217993878 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     