Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Obtuse scalene triangle.

Sides: a = 50   b = 25.38656652971   c = 38.89330956715

Area: T = 486.1643695894
Perimeter: p = 114.2798760969
Semiperimeter: s = 57.13993804843

Angle ∠ A = α = 100° = 1.7455329252 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 50° = 0.8732664626 rad

Height: ha = 19.44765478358
Height: hb = 38.30222221559
Height: hc = 25

Median: ma = 21.29767708056
Median: mb = 42.95661223205
Median: mc = 34.55549964341

Inradius: r = 8.50883823411
Circumradius: R = 25.38656652971

Vertex coordinates: A[38.89330956715; 0] B[0; 0] C[43.30112701892; 25]
Centroid: CG[27.39881219536; 8.33333333333]
Coordinates of the circumscribed circle: U[19.44765478358; 16.31875911167]
Coordinates of the inscribed circle: I[31.75437151872; 8.50883823411]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 80° = 1.7455329252 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 130° = 0.8732664626 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 b 3. By using the law of sines, we calculate last unknown side c 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     