Triangle calculator SSS - result

Please enter the triangle sides:

Obtuse scalene triangle.

Sides: a = 37.7   b = 30.5   c = 9.96

Area: T = 116.0879666039
Perimeter: p = 78.16
Semiperimeter: s = 39.08

Angle ∠ A = α = 130.1611010882° = 130°9'40″ = 2.27217381976 rad
Angle ∠ B = β = 38.19106663209° = 38°11'26″ = 0.66765528708 rad
Angle ∠ C = γ = 11.6488322797° = 11°38'54″ = 0.20333015851 rad

Height: ha = 6.15880724689
Height: hb = 7.61217813796
Height: hc = 23.30991698874

Median: ma = 12.62655019702
Median: mb = 22.97113582533
Median: mc = 33.92659428756

Inradius: r = 2.97703087523
Circumradius: R = 24.66551855375

Vertex coordinates: A[9.96; 0] B[0; 0] C[29.63106024096; 23.30991698874]
Centroid: CG[13.19768674699; 7.77697232958]
Coordinates of the circumscribed circle: U[4.98; 24.15772137798]
Coordinates of the inscribed circle: I[8.58; 2.97703087523]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 49.83989891178° = 49°50'20″ = 2.27217381976 rad
∠ B' = β' = 141.8099333679° = 141°48'34″ = 0.66765528708 rad
∠ C' = γ' = 168.3521677203° = 168°21'6″ = 0.20333015851 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     