Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Right scalene triangle.

Sides: a = 80   b = 69.97695765712   c = 38.78547696197

Area: T = 1356.877695385
Perimeter: p = 188.7544346191
Semiperimeter: s = 94.37771730954

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 61° = 1.06546508437 rad
Angle ∠ C = γ = 29° = 0.50661454831 rad

Height: ha = 33.92219238463
Height: hb = 38.78547696197
Height: hc = 69.97695765712

Median: ma = 40
Median: mb = 52.23221143152
Median: mc = 72.60772051119

Inradius: r = 14.37771730954
Circumradius: R = 40

Vertex coordinates: A[38.78547696197; 0] B[0; 0] C[38.78547696197; 69.97695765712]
Centroid: CG[25.85765130798; 23.32331921904]
Coordinates of the circumscribed circle: U[19.39223848099; 34.98547882856]
Coordinates of the inscribed circle: I[24.40875965243; 14.37771730954]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 119° = 1.06546508437 rad
∠ C' = γ' = 151° = 0.50661454831 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     