Triangle calculator ASA

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

Obtuse scalene triangle.

Sides: a = 328.9587952376   b = 280.5098821904   c = 145

Area: T = 20225.4821979
Perimeter: p = 754.467677428
Semiperimeter: s = 377.233338714

Angle ∠ A = α = 96° = 1.67655160819 rad
Angle ∠ B = β = 58° = 1.01222909662 rad
Angle ∠ C = γ = 26° = 0.45437856055 rad

Height: ha = 122.9676973943
Height: hb = 144.2065674828
Height: hc = 278.9722165228

Median: ma = 151.0032536321
Median: mb = 212.0099121087
Median: mc = 296.9733091035

Inradius: r = 53.6155302008
Circumradius: R = 165.3854972371

Vertex coordinates: A[145; 0] B[0; 0] C[174.3211156087; 278.9722165228]
Centroid: CG[106.4440385362; 92.99107217426]
Coordinates of the circumscribed circle: U[72.5; 148.6477028514]
Coordinates of the inscribed circle: I[96.72545652357; 53.6155302008]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 84° = 1.67655160819 rad
∠ B' = β' = 122° = 1.01222909662 rad
∠ C' = γ' = 154° = 0.45437856055 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     