11 19 27 triangle
Obtuse scalene triangle.
Sides: a = 11 b = 19 c = 27Area: 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
Calculate another triangle
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
