Triangle calculator ASA

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

Obtuse scalene triangle.

Sides: a = 3.02114111139   b = 3.45503189872   c = 5.88

Area: T = 3.96435522727
Perimeter: p = 12.35217301011
Semiperimeter: s = 6.17658650505

Angle ∠ A = α = 23° = 0.4011425728 rad
Angle ∠ B = β = 26.5° = 26°30' = 0.46325122518 rad
Angle ∠ C = γ = 130.5° = 130°30' = 2.27876546739 rad

Height: ha = 2.62436431411
Height: hb = 2.29774990355
Height: hc = 1.34881470315

Median: ma = 4.57879164777
Median: mb = 4.34545928786
Median: mc = 1.36986537605

Inradius: r = 0.64217809068
Circumradius: R = 3.86663557797

Vertex coordinates: A[5.88; 0] B[0; 0] C[2.70439646263; 1.34881470315]
Centroid: CG[2.86113215421; 0.44993823438]
Coordinates of the circumscribed circle: U[2.94; -2.51109972153]
Coordinates of the inscribed circle: I[2.72655460633; 0.64217809068]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157° = 0.4011425728 rad
∠ B' = β' = 153.5° = 153°30' = 0.46325122518 rad
∠ C' = γ' = 49.5° = 49°30' = 2.27876546739 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     