# 11 19 27 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 19   c = 27

Area: T = 84.30441369092
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 19.18881364537° = 19°11'17″ = 0.33548961584 rad
Angle ∠ B = β = 34.59903169264° = 34°35'25″ = 0.60437149197 rad
Angle ∠ C = γ = 126.222154662° = 126°13'18″ = 2.20329815755 rad

Height: ha = 15.32880248926
Height: hb = 8.87441196746
Height: hc = 6.24547508822

Median: ma = 22.68881026091
Median: mb = 18.29661744635
Median: mc = 7.66548548584

Inradius: r = 2.95880398915
Circumradius: R = 16.73440542436

Vertex coordinates: A[27; 0] B[0; 0] C[9.05655555556; 6.24547508822]
Centroid: CG[12.01985185185; 2.08215836274]
Coordinates of the circumscribed circle: U[13.5; -9.88883047803]
Coordinates of the inscribed circle: I[9.5; 2.95880398915]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.8121863546° = 160°48'43″ = 0.33548961584 rad
∠ B' = β' = 145.4109683074° = 145°24'35″ = 0.60437149197 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 ### 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.