Triangle calculator ASA

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

Acute scalene triangle.

Sides: a = 16.22994498946   b = 17.98882054232   c = 9.3

Area: T = 75.18797675116
Perimeter: p = 43.51876553178
Semiperimeter: s = 21.75988276589

Angle ∠ A = α = 64° = 1.11770107213 rad
Angle ∠ B = β = 85° = 1.48435298642 rad
Angle ∠ C = γ = 31° = 0.54110520681 rad

Height: ha = 9.26546106923
Height: hb = 8.35987846306
Height: hc = 16.1687691938

Median: ma = 11.79876271429
Median: mb = 9.69878677221
Median: mc = 16.48882621618

Inradius: r = 3.45551387
Circumradius: R = 9.02884587228

Vertex coordinates: A[9.3; 0] B[0; 0] C[1.414448976; 16.1687691938]
Centroid: CG[3.57114965867; 5.3899230646]
Coordinates of the circumscribed circle: U[4.65; 7.73988995929]
Coordinates of the inscribed circle: I[3.77106222357; 3.45551387]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 116° = 1.11770107213 rad
∠ B' = β' = 95° = 1.48435298642 rad
∠ C' = γ' = 149° = 0.54110520681 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     