Triangle calculator ASA

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

Acute scalene triangle.

Sides: a = 4.99554075996   b = 9.7954622944   c = 10.6

Area: T = 24.37109737842
Perimeter: p = 25.39900305436
Semiperimeter: s = 12.69550152718

Angle ∠ A = α = 28° = 0.48986921906 rad
Angle ∠ B = β = 67° = 1.16993705988 rad
Angle ∠ C = γ = 85° = 1.48435298642 rad

Height: ha = 9.75773514466
Height: hb = 4.97663985655
Height: hc = 4.59882969404

Median: ma = 9.8954887318
Median: mb = 6.6843815444
Median: mc = 5.68880900002

Inradius: r = 1.92197278036
Circumradius: R = 5.3220245139

Vertex coordinates: A[10.6; 0] B[0; 0] C[1.95218612487; 4.59882969404]
Centroid: CG[4.18439537496; 1.53327656468]
Coordinates of the circumscribed circle: U[5.3; 0.46436899167]
Coordinates of the inscribed circle: I[2.99003923278; 1.92197278036]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152° = 0.48986921906 rad
∠ B' = β' = 113° = 1.16993705988 rad
∠ C' = γ' = 95° = 1.48435298642 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     