Triangle calculator

Please enter what you know about the triangle:
You have entered side b, angle α and angle γ.

Obtuse scalene triangle.

Sides: a = 108.7466429171   b = 43   c = 83.35109524712

Area: T = 1624.145477155
Perimeter: p = 235.0977381643
Semiperimeter: s = 117.5498690821

Angle ∠ A = α = 115° = 2.00771286398 rad
Angle ∠ B = β = 21° = 0.36765191429 rad
Angle ∠ C = γ = 44° = 0.76879448709 rad

Height: ha = 29.87703099297
Height: hb = 75.54216172815
Height: hc = 38.97112348426

Median: ma = 37.97703064846
Median: mb = 94.46986909389
Median: mc = 71.41881182146

Inradius: r = 13.81767831577
Circumradius: R = 59.99442043569

Vertex coordinates: A[83.35109524712; 0] B[0; 0] C[101.5243537726; 38.97112348426]
Centroid: CG[61.62548300657; 12.99904116142]
Coordinates of the circumscribed circle: U[41.67554762356; 43.15662189836]
Coordinates of the inscribed circle: I[74.54986908213; 13.81767831577]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 65° = 2.00771286398 rad
∠ B' = β' = 159° = 0.36765191429 rad
∠ C' = γ' = 136° = 0.76879448709 rad

How did we calculate this triangle?

1. Input data entered: side b, angle α and angle γ. 2. From angle α and angle γ we calculate angle β: 3. From angle α, angle β and side b we calculate side a - By using the law of sines, we calculate unknown side a: 4. Calculation of the third side c of the triangle using a Law of Cosines 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. 5. The triangle circumference is the sum of the lengths of its three sides 6. Semiperimeter of the triangle 7. The triangle area using Heron's formula 8. Calculate the heights of the triangle from its area. 9. Calculation of the inner angles of the triangle using a Law of Cosines     