# 11 14 22 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 14   c = 22

Area: T = 64.6998821473
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 24.84223038214° = 24°50'32″ = 0.43435799955 rad
Angle ∠ B = β = 32.32436365082° = 32°19'25″ = 0.56441538833 rad
Angle ∠ C = γ = 122.834405967° = 122°50'3″ = 2.14438587748 rad

Height: ha = 11.7633422086
Height: hb = 9.24326887819
Height: hc = 5.8821711043

Median: ma = 17.65997159068
Median: mb = 15.92216833281
Median: mc = 6.1243724357

Inradius: r = 2.75331413393
Circumradius: R = 13.09114285719

Vertex coordinates: A[22; 0] B[0; 0] C[9.29554545455; 5.8821711043]
Centroid: CG[10.43218181818; 1.96105703477]
Coordinates of the circumscribed circle: U[11; -7.09882745828]
Coordinates of the inscribed circle: I[9.5; 2.75331413393]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.1587696179° = 155°9'28″ = 0.43435799955 rad
∠ B' = β' = 147.6766363492° = 147°40'35″ = 0.56441538833 rad
∠ C' = γ' = 57.16659403296° = 57°9'57″ = 2.14438587748 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    