Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Obtuse scalene triangle.

Sides: a = 50   b = 76.60444443119   c = 98.48107753012

Area: T = 1886.016626684
Perimeter: p = 225.0855219613
Semiperimeter: s = 112.5432609807

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

Height: ha = 75.44106506735
Height: hb = 49.24403876506
Height: hc = 38.30222221559

Median: ma = 84.60770446011
Median: mb = 68.06600567872
Median: mc = 41.94664500069

Inradius: r = 16.75882417902
Circumradius: R = 50

Vertex coordinates: A[98.48107753012; 0] B[0; 0] C[32.13993804843; 38.30222221559]
Centroid: CG[43.54400519285; 12.76774073853]
Coordinates of the circumscribed circle: U[49.24403876506; -8.68224088833]
Coordinates of the inscribed circle: I[35.93881654947; 16.75882417902]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150° = 0.52435987756 rad
∠ B' = β' = 130° = 0.8732664626 rad
∠ C' = γ' = 80° = 1.7455329252 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     