Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Acute scalene triangle.

Sides: a = 90   b = 79.61096737803   c = 97.65657217619

Area: T = 3366.388803475
Perimeter: p = 267.2655395542
Semiperimeter: s = 133.6332697771

Angle ∠ A = α = 60° = 1.04771975512 rad
Angle ∠ B = β = 50° = 0.8732664626 rad
Angle ∠ C = γ = 70° = 1.22217304764 rad

Height: ha = 74.80986229945
Height: hb = 84.57223358707
Height: hc = 68.94439998807

Median: ma = 76.89106371161
Median: mb = 85.05223071796
Median: mc = 69.5321935695

Inradius: r = 25.19113498036
Circumradius: R = 51.96215242271

Vertex coordinates: A[97.65657217619; 0] B[0; 0] C[57.85108848718; 68.94439998807]
Centroid: CG[51.83655355446; 22.98113332936]
Coordinates of the circumscribed circle: U[48.8287860881; 17.77218879636]
Coordinates of the inscribed circle: I[54.02330239908; 25.19113498036]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120° = 1.04771975512 rad
∠ B' = β' = 130° = 0.8732664626 rad
∠ C' = γ' = 110° = 1.22217304764 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     