Triangle calculator ASA

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

Obtuse scalene triangle.

Sides: a = 51.18220037316   b = 24.33551976962   c = 65

Area: T = 568.9211478189
Perimeter: p = 140.5177201428
Semiperimeter: s = 70.25986007139

Angle ∠ A = α = 46° = 0.80328514559 rad
Angle ∠ B = β = 20° = 0.34990658504 rad
Angle ∠ C = γ = 114° = 1.99896753473 rad

Height: ha = 22.23113093162
Height: hb = 46.7577087022
Height: hc = 17.5055276252

Median: ma = 41.87772199049
Median: mb = 57.22110476246
Median: mc = 23.44546086861

Inradius: r = 8.0987534998
Circumradius: R = 35.57656790514

Vertex coordinates: A[65; 0] B[0; 0] C[48.09553512236; 17.5055276252]
Centroid: CG[37.69884504079; 5.8355092084]
Coordinates of the circumscribed circle: U[32.5; -14.47699322725]
Coordinates of the inscribed circle: I[45.92334030177; 8.0987534998]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134° = 0.80328514559 rad
∠ B' = β' = 160° = 0.34990658504 rad
∠ C' = γ' = 66° = 1.99896753473 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     