# 11 22 26 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 22   c = 26

Area: T = 119.6911008434
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 24.74399242471° = 24°44'24″ = 0.43217931348 rad
Angle ∠ B = β = 56.82546760001° = 56°49'29″ = 0.99217776926 rad
Angle ∠ C = γ = 98.43553997528° = 98°26'7″ = 1.71880218262 rad

Height: ha = 21.76220015335
Height: hb = 10.88110007667
Height: hc = 9.20770006488

Median: ma = 23.44767481754
Median: mb = 16.6588331249
Median: mc = 11.55442200083

Inradius: r = 4.05773223198
Circumradius: R = 13.14221735064

Vertex coordinates: A[26; 0] B[0; 0] C[6.01992307692; 9.20770006488]
Centroid: CG[10.67330769231; 3.06990002163]
Coordinates of the circumscribed circle: U[13; -1.92878808243]
Coordinates of the inscribed circle: I[7.5; 4.05773223198]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.2660075753° = 155°15'36″ = 0.43217931348 rad
∠ B' = β' = 123.1755324° = 123°10'31″ = 0.99217776926 rad
∠ C' = γ' = 81.56546002472° = 81°33'53″ = 1.71880218262 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    