# 6 14 19 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 14   c = 19

Area: T = 26.9066086672
Perimeter: p = 39
Semiperimeter: s = 19.5

Angle ∠ A = α = 11.67215712088° = 11°40'18″ = 0.20437073465 rad
Angle ∠ B = β = 28.16765785968° = 28°10' = 0.49215995355 rad
Angle ∠ C = γ = 140.1621850194° = 140°9'43″ = 2.44662857716 rad

Height: ha = 8.96986955573
Height: hb = 3.84437266674
Height: hc = 2.83222196497

Median: ma = 16.41664551594
Median: mb = 12.22770192606
Median: mc = 5.07444457825

Inradius: r = 1.38797993165
Circumradius: R = 14.82993583108

Vertex coordinates: A[19; 0] B[0; 0] C[5.28994736842; 2.83222196497]
Centroid: CG[8.09664912281; 0.94440732166]
Coordinates of the circumscribed circle: U[9.5; -11.38768287029]
Coordinates of the inscribed circle: I[5.5; 1.38797993165]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.3288428791° = 168°19'42″ = 0.20437073465 rad
∠ B' = β' = 151.8333421403° = 151°50' = 0.49215995355 rad
∠ C' = γ' = 39.83881498056° = 39°50'17″ = 2.44662857716 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    