# 11 14 19 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 14   c = 19

Area: T = 76.2110235533
Perimeter: p = 44
Semiperimeter: s = 22

Angle ∠ A = α = 34.96603404055° = 34°57'37″ = 0.61101730477 rad
Angle ∠ B = β = 46.82664488927° = 46°49'35″ = 0.81772757102 rad
Angle ∠ C = γ = 98.21332107017° = 98°12'48″ = 1.71441438957 rad

Height: ha = 13.85664064606
Height: hb = 10.88771765047
Height: hc = 8.02221300561

Median: ma = 15.75659512566
Median: mb = 13.85664064606
Median: mc = 8.26113558209

Inradius: r = 3.46441016151
Circumradius: R = 9.59884482253

Vertex coordinates: A[19; 0] B[0; 0] C[7.52663157895; 8.02221300561]
Centroid: CG[8.84221052632; 2.6744043352]
Coordinates of the circumscribed circle: U[9.5; -1.37112068893]
Coordinates of the inscribed circle: I[8; 3.46441016151]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.0439659594° = 145°2'23″ = 0.61101730477 rad
∠ B' = β' = 133.1743551107° = 133°10'25″ = 0.81772757102 rad
∠ C' = γ' = 81.78767892983° = 81°47'12″ = 1.71441438957 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    