16 19 19 triangle

Acute isosceles triangle.

Sides: a = 16   b = 19   c = 19

Area: T = 137.8769503517
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 49.80221247407° = 49°48'8″ = 0.86992110512 rad
Angle ∠ B = β = 65.09989376296° = 65°5'56″ = 1.13661908012 rad
Angle ∠ C = γ = 65.09989376296° = 65°5'56″ = 1.13661908012 rad

Height: ha = 17.23436879396
Height: hb = 14.51325793176
Height: hc = 14.51325793176

Median: ma = 17.23436879396
Median: mb = 14.77332867027
Median: mc = 14.77332867027

Vertex coordinates: A[19; 0] B[0; 0] C[6.73768421053; 14.51325793176]
Centroid: CG[8.57989473684; 4.83875264392]
Coordinates of the circumscribed circle: U[9.5; 4.41099672842]
Coordinates of the inscribed circle: I[8; 5.1066277908]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.1987875259° = 130°11'52″ = 0.86992110512 rad
∠ B' = β' = 114.901106237° = 114°54'4″ = 1.13661908012 rad
∠ C' = γ' = 114.901106237° = 114°54'4″ = 1.13661908012 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    