Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 191.4299343295   b = 62.32332980054   c = 181

Area: T = 5640.258846949
Perimeter: p = 434.75326413
Semiperimeter: s = 217.376632065

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 19° = 0.33216125579 rad
Angle ∠ C = γ = 71° = 1.23991837689 rad

Height: ha = 58.92878359567
Height: hb = 181
Height: hc = 62.32332980054

Median: ma = 95.71546716474
Median: mb = 183.6632866058
Median: mc = 109.884377257

Inradius: r = 25.94769773553
Circumradius: R = 95.71546716474

Vertex coordinates: A[181; 0] B[0; 0] C[181; 62.32332980054]
Centroid: CG[120.6676666667; 20.77444326685]
Coordinates of the circumscribed circle: U[90.5; 31.16216490027]
Coordinates of the inscribed circle: I[155.0533022645; 25.94769773553]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 161° = 0.33216125579 rad
∠ C' = γ' = 109° = 1.23991837689 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     