12.81 19.21 23.09 triangle

Obtuse scalene triangle.

Sides: a = 12.81   b = 19.21   c = 23.09

Area: T = 123.0440049802
Perimeter: p = 55.11
Semiperimeter: s = 27.555

Angle ∠ A = α = 33.69659501308° = 33°41'45″ = 0.58881052744 rad
Angle ∠ B = β = 56.30108018369° = 56°18'3″ = 0.98326343636 rad
Angle ∠ C = γ = 90.00332480323° = 90°12″ = 1.57108530157 rad

Height: ha = 19.21099999691
Height: hb = 12.81099999794
Height: hc = 10.65774317715

Median: ma = 20.25499895062
Median: mb = 16.0111435757
Median: mc = 11.54443958265

Inradius: r = 4.46552531229
Circumradius: R = 11.54550000186

Vertex coordinates: A[23.09; 0] B[0; 0] C[7.10774079688; 10.65774317715]
Centroid: CG[10.06658026563; 3.55224772572]
Coordinates of the circumscribed circle: U[11.545; -0.00106544729]
Coordinates of the inscribed circle: I[8.345; 4.46552531229]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.3044049869° = 146°18'15″ = 0.58881052744 rad
∠ B' = β' = 123.6999198163° = 123°41'57″ = 0.98326343636 rad
∠ C' = γ' = 89.99767519677° = 89°59'48″ = 1.57108530157 rad

How did we calculate this triangle?

1. The triangle circumference is the sum of the lengths of its three sides 2. Semiperimeter of the triangle 3. The triangle area using Heron's formula 4. Calculate the heights of the triangle from its area. 5. Calculation of the inner angles of the triangle using a Law of Cosines     