Triangle calculator ASA

Please enter the side of the triangle and two adjacent angles
°
°

Right scalene triangle.

Sides: a = 20.78546096908   b = 41.56992193817   c = 36

Area: T = 374.1232974435
Perimeter: p = 98.35438290725
Semiperimeter: s = 49.17769145362

Angle ∠ A = α = 30° = 0.52435987756 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 60° = 1.04771975512 rad

Height: ha = 36
Height: hb = 18
Height: hc = 20.78546096908

Median: ma = 37.47699879904
Median: mb = 20.78546096908
Median: mc = 27.49554541697

Inradius: r = 7.60876951546
Circumradius: R = 20.78546096908

Vertex coordinates: A[36; 0] B[0; 0] C[-0; 20.78546096908]
Centroid: CG[12; 6.92882032303]
Coordinates of the circumscribed circle: U[18; 10.39223048454]
Coordinates of the inscribed circle: I[7.60876951546; 7.60876951546]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150° = 0.52435987756 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 120° = 1.04771975512 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 a 3. By using the law of sines, we calculate last unknown side b 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     