7 13 19 triangle

Obtuse scalene triangle.

Sides: a = 7   b = 13   c = 19

Area: T = 28.1465825623
Perimeter: p = 39
Semiperimeter: s = 19.5

Angle ∠ A = α = 13.17435511073° = 13°10'25″ = 0.2329921841 rad
Angle ∠ B = β = 25.04396595945° = 25°2'23″ = 0.43770245035 rad
Angle ∠ C = γ = 141.7876789298° = 141°47'12″ = 2.47546463091 rad

Height: ha = 8.04216644637
Height: hb = 4.33301270189
Height: hc = 2.96327184866

Median: ma = 15.89881130956
Median: mb = 12.75773508222
Median: mc = 4.33301270189

Vertex coordinates: A[19; 0] B[0; 0] C[6.34221052632; 2.96327184866]
Centroid: CG[8.44773684211; 0.98875728289]
Coordinates of the circumscribed circle: U[9.5; -12.06766206261]
Coordinates of the inscribed circle: I[6.5; 1.4433375673]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.8266448893° = 166°49'35″ = 0.2329921841 rad
∠ B' = β' = 154.9660340406° = 154°57'37″ = 0.43770245035 rad
∠ C' = γ' = 38.21332107017° = 38°12'48″ = 2.47546463091 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    