Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 58.01215766531   b = 334.075535531   c = 329

Area: T = 9542.904435943
Perimeter: p = 721.0876931963
Semiperimeter: s = 360.5433465982

Angle ∠ A = α = 10° = 0.17545329252 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 80° = 1.39662634016 rad

Height: ha = 329
Height: hb = 57.13302504524
Height: hc = 58.01215766531

Median: ma = 330.2766150753
Median: mb = 167.0387677655
Median: mc = 174.4299335336

Inradius: r = 26.46881106713
Circumradius: R = 167.0387677655

Vertex coordinates: A[329; 0] B[0; 0] C[-0; 58.01215766531]
Centroid: CG[109.6676666667; 19.33771922177]
Coordinates of the circumscribed circle: U[164.5; 29.00657883265]
Coordinates of the inscribed circle: I[26.46881106713; 26.46881106713]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170° = 0.17545329252 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 100° = 1.39662634016 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     