Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 100   b = 1.99554279894   c = 99.01773668299

Area: T = 86.40545665132
Perimeter: p = 201.0132794819
Semiperimeter: s = 100.506639741

Angle ∠ A = α = 119° = 2.07769418099 rad
Angle ∠ B = β = 1° = 0.01774532925 rad
Angle ∠ C = γ = 60° = 1.04771975512 rad

Height: ha = 1.72880913303
Height: hb = 86.60325403784
Height: hc = 1.74552406437

Median: ma = 49.03327475611
Median: mb = 99.50548945215
Median: mc = 50.50662484545

Inradius: r = 0.86596922061
Circumradius: R = 57.16877033937

Vertex coordinates: A[99.01773668299; 0] B[0; 0] C[99.98547695156; 1.74552406437]
Centroid: CG[66.33440454485; 0.58217468812]
Coordinates of the circumscribed circle: U[49.50986834149; 28.58438516968]
Coordinates of the inscribed circle: I[98.51109694202; 0.86596922061]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 61° = 2.07769418099 rad
∠ B' = β' = 179° = 0.01774532925 rad
∠ C' = γ' = 120° = 1.04771975512 rad

How did we calculate this triangle?

1. Input data entered: side a, angle β and angle γ. 2. From angle β and angle γ we calculate angle α: 3. From angle β, angle α and side a we calculate side b - By using the law of sines, we calculate unknown side b: 4. From angle γ, angle α and side a we calculate side c - By using the law of sines, we calculate unknown side c: 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     