# 6 22 26 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 22   c = 26

Area: T = 53.24547180479
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 10.72993735799° = 10°43'46″ = 0.18772628956 rad
Angle ∠ B = β = 43.04990798002° = 43°2'57″ = 0.75113481825 rad
Angle ∠ C = γ = 126.222154662° = 126°13'18″ = 2.20329815755 rad

Height: ha = 17.74882393493
Height: hb = 4.84404289134
Height: hc = 4.09657475421

Median: ma = 23.89656062907
Median: mb = 15.33297097168
Median: mc = 9.53993920142

Inradius: r = 1.97220265944
Circumradius: R = 16.11442744568

Vertex coordinates: A[26; 0] B[0; 0] C[4.38546153846; 4.09657475421]
Centroid: CG[10.12882051282; 1.36552491807]
Coordinates of the circumscribed circle: U[13; -9.52220712699]
Coordinates of the inscribed circle: I[5; 1.97220265944]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.271062642° = 169°16'14″ = 0.18772628956 rad
∠ B' = β' = 136.95109202° = 136°57'3″ = 0.75113481825 rad
∠ C' = γ' = 53.77884533802° = 53°46'42″ = 2.20329815755 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    