# 14 19 26 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 19   c = 26

Area: T = 129.6330002314
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 31.65659800068° = 31°39'22″ = 0.55325010791 rad
Angle ∠ B = β = 45.41985029197° = 45°25'7″ = 0.79327024173 rad
Angle ∠ C = γ = 102.9265517073° = 102°55'32″ = 1.79663891572 rad

Height: ha = 18.51985717592
Height: hb = 13.64552634015
Height: hc = 9.97215386396

Median: ma = 21.668794868
Median: mb = 18.59443539818
Median: mc = 10.46442247682

Inradius: r = 4.39442373666
Circumradius: R = 13.33879616534

Vertex coordinates: A[26; 0] B[0; 0] C[9.82769230769; 9.97215386396]
Centroid: CG[11.94223076923; 3.32438462132]
Coordinates of the circumscribed circle: U[13; -2.98334914225]
Coordinates of the inscribed circle: I[10.5; 4.39442373666]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.3444019993° = 148°20'38″ = 0.55325010791 rad
∠ B' = β' = 134.581149708° = 134°34'53″ = 0.79327024173 rad
∠ C' = γ' = 77.07444829265° = 77°4'28″ = 1.79663891572 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    