# 8 14 19 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 14   c = 19

Area: T = 49.98443725578
Perimeter: p = 41
Semiperimeter: s = 20.5

Angle ∠ A = α = 22.07551482086° = 22°4'31″ = 0.38552840191 rad
Angle ∠ B = β = 41.1243868612° = 41°7'26″ = 0.71877469084 rad
Angle ∠ C = γ = 116.8010983179° = 116°48'4″ = 2.0398561726 rad

Height: ha = 12.49660931395
Height: hb = 7.14106246511
Height: hc = 5.26215129008

Median: ma = 16.2021851746
Median: mb = 12.78767118525
Median: mc = 6.30547601065

Inradius: r = 2.4388262076
Circumradius: R = 10.64333265594

Vertex coordinates: A[19; 0] B[0; 0] C[6.02663157895; 5.26215129008]
Centroid: CG[8.34221052632; 1.75438376336]
Coordinates of the circumscribed circle: U[9.5; -4.79989999219]
Coordinates of the inscribed circle: I[6.5; 2.4388262076]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.9254851791° = 157°55'29″ = 0.38552840191 rad
∠ B' = β' = 138.8766131388° = 138°52'34″ = 0.71877469084 rad
∠ C' = γ' = 63.19990168207° = 63°11'56″ = 2.0398561726 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    