Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 11.58987625793   b = 6.3   c = 5.3

Area: T = 1.47334189221
Perimeter: p = 23.18987625793
Semiperimeter: s = 11.59443812896

Angle ∠ A = α = 174.9376767703° = 174°56'12″ = 3.05332225792 rad
Angle ∠ B = β = 2.75° = 2°45' = 0.04879965544 rad
Angle ∠ C = γ = 2.31332322974° = 2°18'48″ = 0.044037352 rad

Height: ha = 0.25442840812
Height: hb = 0.46877520388
Height: hc = 0.55660071404

Median: ma = 0.56113781883
Median: mb = 8.44222869567
Median: mc = 8.94327182142

Inradius: r = 0.12770804267
Circumradius: R = 65.65549160436

Vertex coordinates: A[5.3; 0] B[0; 0] C[11.57554168037; 0.55660071404]
Centroid: CG[5.62551389346; 0.18553357135]
Coordinates of the circumscribed circle: U[2.65; 65.6011413862]
Coordinates of the inscribed circle: I[5.29443812896; 0.12770804267]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 5.06332322974° = 5°3'48″ = 3.05332225792 rad
∠ B' = β' = 177.25° = 177°15' = 0.04879965544 rad
∠ C' = γ' = 177.6876767703° = 177°41'12″ = 0.044037352 rad

How did we calculate this triangle?

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