Triangle calculator

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

Right scalene triangle.

Sides: a = 2.03304167878   b = 97.5   c = 97.52111392075

Area: T = 98.98328184065
Perimeter: p = 197.0521555995
Semiperimeter: s = 98.52657779977

Angle ∠ A = α = 1.193° = 1°11'35″ = 0.0210821778 rad
Angle ∠ B = β = 88.807° = 88°48'25″ = 1.55499745488 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 97.5
Height: hb = 2.03304167878
Height: hc = 2.03299766637

Median: ma = 97.50552852315
Median: mb = 48.79222646772
Median: mc = 48.76105696038

Inradius: r = 1.00546387902
Circumradius: R = 48.76105696037

Vertex coordinates: A[97.52111392075; 0] B[0; 0] C[0.04222738328; 2.03299766637]
Centroid: CG[32.52111376801; 0.67766588879]
Coordinates of the circumscribed circle: U[48.76105696038; -0]
Coordinates of the inscribed circle: I[1.02657779977; 1.00546387902]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 178.807° = 178°48'25″ = 0.0210821778 rad
∠ B' = β' = 91.193° = 91°11'35″ = 1.55499745488 rad
∠ C' = γ' = 90° = 1.57107963268 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     