Triangle calculator ASA

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

Obtuse scalene triangle.

Sides: a = 26.97215945477   b = 62.14222654783   c = 75

Area: T = 797.0211495455
Perimeter: p = 164.1143860026
Semiperimeter: s = 82.0576930013

Angle ∠ A = α = 20° = 0.34990658504 rad
Angle ∠ B = β = 52° = 0.9087571211 rad
Angle ∠ C = γ = 108° = 1.88549555922 rad

Height: ha = 59.10108065205
Height: hb = 25.65215107494
Height: hc = 21.25439065455

Median: ma = 67.53986100781
Median: mb = 47.01993382187
Median: mc = 29.80545975583

Inradius: r = 9.71330308839
Circumradius: R = 39.43298334089

Vertex coordinates: A[75; 0] B[0; 0] C[16.60553716911; 21.25439065455]
Centroid: CG[30.5355123897; 7.08546355152]
Coordinates of the circumscribed circle: U[37.5; -12.18444886087]
Coordinates of the inscribed circle: I[19.91546645347; 9.71330308839]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160° = 0.34990658504 rad
∠ B' = β' = 128° = 0.9087571211 rad
∠ C' = γ' = 72° = 1.88549555922 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     