Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Acute scalene triangle.

Sides: a = 44   b = 44.92993711216   c = 60.25551339805

Area: T = 985.1222402573
Perimeter: p = 149.1854505102
Semiperimeter: s = 74.59222525511

Angle ∠ A = α = 46.7° = 46°42' = 0.81550687607 rad
Angle ∠ B = β = 48° = 0.8387758041 rad
Angle ∠ C = γ = 85.3° = 85°18' = 1.4898765852 rad

Height: ha = 44.77882910261
Height: hb = 43.852204502
Height: hc = 32.6988372321

Median: ma = 48.38804173214
Median: mb = 47.73655055295
Median: mc = 32.70655637765

Inradius: r = 13.20767657013
Circumradius: R = 30.2299216151

Vertex coordinates: A[60.25551339805; 0] B[0; 0] C[29.44217466798; 32.6988372321]
Centroid: CG[29.89989602201; 10.89994574403]
Coordinates of the circumscribed circle: U[30.12875669903; 2.47769368885]
Coordinates of the inscribed circle: I[29.66328814294; 13.20767657013]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.3° = 133°18' = 0.81550687607 rad
∠ B' = β' = 132° = 0.8387758041 rad
∠ C' = γ' = 94.7° = 94°42' = 1.4898765852 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     