Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Obtuse scalene triangle.

Sides: a = 37   b = 36.64399945706   c = 54.94401840398

Area: T = 673.4832646853
Perimeter: p = 128.588017861
Semiperimeter: s = 64.29900893052

Angle ∠ A = α = 42° = 0.73330382858 rad
Angle ∠ B = β = 41.5° = 41°30' = 0.72443116396 rad
Angle ∠ C = γ = 96.5° = 96°30' = 1.68442427282 rad

Height: ha = 36.40444673974
Height: hb = 36.762215866
Height: hc = 24.5176941784

Median: ma = 42.87443106327
Median: mb = 43.10655635694
Median: mc = 24.51881289148

Inradius: r = 10.47656837972
Circumradius: R = 27.64878161725

Vertex coordinates: A[54.94401840398; 0] B[0; 0] C[27.71113616692; 24.5176941784]
Centroid: CG[27.55105152363; 8.1722313928]
Coordinates of the circumscribed circle: U[27.47700920199; -3.13298216444]
Coordinates of the inscribed circle: I[27.65500947346; 10.47656837972]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138° = 0.73330382858 rad
∠ B' = β' = 138.5° = 138°30' = 0.72443116396 rad
∠ C' = γ' = 83.5° = 83°30' = 1.68442427282 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     