Triangle calculator ASA

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

Obtuse isosceles triangle.

Sides: a = 69.28220323028   b = 69.28220323028   c = 120

Area: T = 2078.461096908
Perimeter: p = 258.5644064605
Semiperimeter: s = 129.2822032303

Angle ∠ A = α = 30° = 0.52435987756 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 120° = 2.09443951024 rad

Height: ha = 60
Height: hb = 60
Height: hc = 34.64110161514

Median: ma = 91.65215138991
Median: mb = 91.65215138991
Median: mc = 34.64110161514

Inradius: r = 16.07769515459
Circumradius: R = 69.28220323028

Vertex coordinates: A[120; 0] B[0; 0] C[60; 34.64110161514]
Centroid: CG[60; 11.54770053838]
Coordinates of the circumscribed circle: U[60; -34.64110161514]
Coordinates of the inscribed circle: I[60; 16.07769515459]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150° = 0.52435987756 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 60° = 2.09443951024 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     