Triangle calculator ASA

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

Obtuse scalene triangle.

Sides: a = 72.1655379808   b = 131.2121805798   c = 100

Area: T = 3573.154356462
Perimeter: p = 303.3777185606
Semiperimeter: s = 151.6898592803

Angle ∠ A = α = 33° = 0.57659586532 rad
Angle ∠ B = β = 98° = 1.7110422667 rad
Angle ∠ C = γ = 49° = 0.85552113335 rad

Height: ha = 99.02768068742
Height: hb = 54.46439035015
Height: hc = 71.46330712925

Median: ma = 110.9343802241
Median: mb = 57.44437683845
Median: mc = 93.33991129796

Inradius: r = 23.55658488519
Circumradius: R = 66.25106496674

Vertex coordinates: A[100; 0] B[0; 0] C[-10.04334796898; 71.46330712925]
Centroid: CG[29.98655067701; 23.82110237642]
Coordinates of the circumscribed circle: U[50; 43.46443368908]
Coordinates of the inscribed circle: I[20.47767870049; 23.55658488519]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147° = 0.57659586532 rad
∠ B' = β' = 82° = 1.7110422667 rad
∠ C' = γ' = 131° = 0.85552113335 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     