# 6 25 26 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 25   c = 26

Area: T = 74.90661913329
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 13.3255367656° = 13°19'31″ = 0.23325715396 rad
Angle ∠ B = β = 73.80986483614° = 73°48'31″ = 1.28882039304 rad
Angle ∠ C = γ = 92.86659839826° = 92°51'58″ = 1.62108171836 rad

Height: ha = 24.96987304443
Height: hb = 5.99224953066
Height: hc = 5.76220147179

Median: ma = 25.32878502838
Median: mb = 14.13332940251
Median: mc = 12.70882650271

Inradius: r = 2.62882874152
Circumradius: R = 13.01662805324

Vertex coordinates: A[26; 0] B[0; 0] C[1.67330769231; 5.76220147179]
Centroid: CG[9.22443589744; 1.92106715726]
Coordinates of the circumscribed circle: U[13; -0.65108140266]
Coordinates of the inscribed circle: I[3.5; 2.62882874152]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.6754632344° = 166°40'29″ = 0.23325715396 rad
∠ B' = β' = 106.1911351639° = 106°11'29″ = 1.28882039304 rad
∠ C' = γ' = 87.13440160174° = 87°8'2″ = 1.62108171836 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    