Triangle calculator ASA

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

Acute scalene triangle.

Sides: a = 220.6144059481   b = 280.6110005542   c = 230

Area: T = 24720.37695744
Perimeter: p = 731.2244065023
Semiperimeter: s = 365.6122032512

Angle ∠ A = α = 50° = 0.8732664626 rad
Angle ∠ B = β = 77° = 1.3443903524 rad
Angle ∠ C = γ = 53° = 0.92550245036 rad

Height: ha = 224.1055114901
Height: hb = 176.1990221917
Height: hc = 214.9659735429

Median: ma = 231.6321920933
Median: mb = 176.3511319297
Median: mc = 224.6880371251

Inradius: r = 67.61436652411
Circumradius: R = 143.9965600688

Vertex coordinates: A[230; 0] B[0; 0] C[49.62773652834; 214.9659735429]
Centroid: CG[93.20991217611; 71.65332451431]
Coordinates of the circumscribed circle: U[115; 86.65987157618]
Coordinates of the inscribed circle: I[85.00220269695; 67.61436652411]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130° = 0.8732664626 rad
∠ B' = β' = 103° = 1.3443903524 rad
∠ C' = γ' = 127° = 0.92550245036 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     