# 11 22 27 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 22   c = 27

Area: T = 116.9621532138
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 23.192176951° = 23°11'30″ = 0.40547727373 rad
Angle ∠ B = β = 51.96436260429° = 51°57'49″ = 0.90769363657 rad
Angle ∠ C = γ = 104.8454604447° = 104°50'41″ = 1.83298835506 rad

Height: ha = 21.26657331159
Height: hb = 10.6332866558
Height: hc = 8.66438171954

Median: ma = 24.00552077683
Median: mb = 17.43655957742
Median: mc = 10.96658560997

Inradius: r = 3.89987177379
Circumradius: R = 13.96661303178

Vertex coordinates: A[27; 0] B[0; 0] C[6.77877777778; 8.66438171954]
Centroid: CG[11.25992592593; 2.88879390651]
Coordinates of the circumscribed circle: U[13.5; -3.57880995029]
Coordinates of the inscribed circle: I[8; 3.89987177379]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.808823049° = 156°48'30″ = 0.40547727373 rad
∠ B' = β' = 128.0366373957° = 128°2'11″ = 0.90769363657 rad
∠ C' = γ' = 75.15553955529° = 75°9'19″ = 1.83298835506 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.