11 13 19 triangle

Obtuse scalene triangle.

Sides: a = 11   b = 13   c = 19

Area: T = 69.26217318582
Perimeter: p = 43
Semiperimeter: s = 21.5

Angle ∠ A = α = 34.11327839945° = 34°6'46″ = 0.59553803977 rad
Angle ∠ B = β = 41.51331322663° = 41°30'47″ = 0.72545408409 rad
Angle ∠ C = γ = 104.3744083739° = 104°22'27″ = 1.8221671415 rad

Height: ha = 12.5933042156
Height: hb = 10.65656510551
Height: hc = 7.29107086167

Median: ma = 15.3221553446
Median: mb = 14.09878721799
Median: mc = 7.39993242935

Vertex coordinates: A[19; 0] B[0; 0] C[8.23768421053; 7.29107086167]
Centroid: CG[9.07989473684; 2.43302362056]
Coordinates of the circumscribed circle: U[9.5; -2.43546055964]
Coordinates of the inscribed circle: I[8.5; 3.22114759004]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.8877216006° = 145°53'14″ = 0.59553803977 rad
∠ B' = β' = 138.4876867734° = 138°29'13″ = 0.72545408409 rad
∠ C' = γ' = 75.62659162608° = 75°37'33″ = 1.8221671415 rad

How did we calculate this triangle?

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. 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    