Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 82.45548328038   b = 89.57656632837   c = 35

Area: T = 1442.965957407
Perimeter: p = 207.0330496088
Semiperimeter: s = 103.5155248044

Angle ∠ A = α = 67° = 1.16993705988 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 23° = 0.4011425728 rad

Height: ha = 35
Height: hb = 32.21876698708
Height: hc = 82.45548328038

Median: ma = 54.08804942949
Median: mb = 44.78878316418
Median: mc = 84.29114553956

Inradius: r = 13.94395847601
Circumradius: R = 44.78878316418

Vertex coordinates: A[35; 0] B[0; 0] C[0; 82.45548328038]
Centroid: CG[11.66766666667; 27.48549442679]
Coordinates of the circumscribed circle: U[17.5; 41.22774164019]
Coordinates of the inscribed circle: I[13.94395847601; 13.94395847601]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 113° = 1.16993705988 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 157° = 0.4011425728 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     