Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Acute scalene triangle.

Sides: a = 50   b = 43.81550164387   c = 56.67549515915

Area: T = 1052.942242523
Perimeter: p = 150.498996803
Semiperimeter: s = 75.24549840151

Angle ∠ A = α = 58° = 1.01222909662 rad
Angle ∠ B = β = 48° = 0.8387758041 rad
Angle ∠ C = γ = 74° = 1.29215436465 rad

Height: ha = 42.11876970094
Height: hb = 48.06330847969
Height: hc = 37.15772412739

Median: ma = 44.05656795624
Median: mb = 48.74551141405
Median: mc = 37.50882030799

Inradius: r = 13.99435231433
Circumradius: R = 29.47994600841

Vertex coordinates: A[56.67549515915; 0] B[0; 0] C[33.45765303179; 37.15772412739]
Centroid: CG[30.04438273031; 12.38657470913]
Coordinates of the circumscribed circle: U[28.33774757957; 8.12656404285]
Coordinates of the inscribed circle: I[31.43299675764; 13.99435231433]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122° = 1.01222909662 rad
∠ B' = β' = 132° = 0.8387758041 rad
∠ C' = γ' = 106° = 1.29215436465 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     