Triangle calculator SSS - result

Please enter the triangle sides:

Obtuse scalene triangle.

Sides: a = 11   b = 21   c = 27

Area: T = 107.6990238648
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 22.32549954181° = 22°19'30″ = 0.39896446755 rad
Angle ∠ B = β = 46.4844388962° = 46°29'4″ = 0.81113056382 rad
Angle ∠ C = γ = 111.191061562° = 111°11'26″ = 1.94106423399 rad

Height: ha = 19.58800433905
Height: hb = 10.25662132045
Height: hc = 7.97770547146

Median: ma = 23.55331314266
Median: mb = 17.74111949992
Median: mc = 9.93773034572

Inradius: r = 3.65105165643
Circumradius: R = 14.47990281792

Vertex coordinates: A[27; 0] B[0; 0] C[7.57440740741; 7.97770547146]
Centroid: CG[11.5254691358; 2.65990182382]
Coordinates of the circumscribed circle: U[13.5; -5.23437612682]
Coordinates of the inscribed circle: I[8.5; 3.65105165643]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.6755004582° = 157°40'30″ = 0.39896446755 rad
∠ B' = β' = 133.5165611038° = 133°30'56″ = 0.81113056382 rad
∠ C' = γ' = 68.80993843802° = 68°48'34″ = 1.94106423399 rad

How did we calculate this triangle?

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     