Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Acute scalene triangle.

Sides: a = 19.2   b = 21.63334471857   c = 20.76994277294

Area: T = 181.2899411096
Perimeter: p = 61.60328749151
Semiperimeter: s = 30.80114374576

Angle ∠ A = α = 53.8° = 53°48' = 0.93989871376 rad
Angle ∠ B = β = 65.4° = 65°24' = 1.14114453308 rad
Angle ∠ C = γ = 60.8° = 60°48' = 1.06111601852 rad

Height: ha = 18.88443136558
Height: hb = 16.76601038836
Height: hc = 17.45773332937

Median: ma = 18.90883997914
Median: mb = 16.82326946361
Median: mc = 17.62204635727

Inradius: r = 5.88657451489
Circumradius: R = 11.89664958444

Vertex coordinates: A[20.76994277294; 0] B[0; 0] C[7.99325912114; 17.45773332937]
Centroid: CG[9.58773396469; 5.81991110979]
Coordinates of the circumscribed circle: U[10.38547138647; 5.80438204076]
Coordinates of the inscribed circle: I[9.16879902719; 5.88657451489]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.2° = 126°12' = 0.93989871376 rad
∠ B' = β' = 114.6° = 114°36' = 1.14114453308 rad
∠ C' = γ' = 119.2° = 119°12' = 1.06111601852 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     