Triangle calculator ASA

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

Acute scalene triangle.

Sides: a = 15.09110689502   b = 15.80773075776   c = 6.2

Area: T = 46.60442929179
Perimeter: p = 37.09883765278
Semiperimeter: s = 18.54991882639

Angle ∠ A = α = 72° = 1.25766370614 rad
Angle ∠ B = β = 85° = 1.48435298642 rad
Angle ∠ C = γ = 23° = 0.4011425728 rad

Height: ha = 6.17664071282
Height: hb = 5.8976550401
Height: hc = 15.03436428767

Median: ma = 9.33991860411
Median: mb = 8.40437157149
Median: mc = 15.13992096047

Inradius: r = 2.51224707483
Circumradius: R = 7.93438444623

Vertex coordinates: A[6.2; 0] B[0; 0] C[1.31552733232; 15.03436428767]
Centroid: CG[2.50550911077; 5.01112142922]
Coordinates of the circumscribed circle: U[3.1; 7.30331423341]
Coordinates of the inscribed circle: I[2.74218806863; 2.51224707483]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 108° = 1.25766370614 rad
∠ B' = β' = 95° = 1.48435298642 rad
∠ C' = γ' = 157° = 0.4011425728 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     