11.5 13.7 12.2 triangle

Acute scalene triangle.

Sides: a = 11.5   b = 13.7   c = 12.2

Area: T = 66.15498299318
Perimeter: p = 37.4
Semiperimeter: s = 18.7

Angle ∠ A = α = 52.33105942326° = 52°19'50″ = 0.91333411689 rad
Angle ∠ B = β = 70.55876536542° = 70°33'28″ = 1.23114633687 rad
Angle ∠ C = γ = 57.11217521133° = 57°6'42″ = 0.9976788116 rad

Height: ha = 11.5044318249
Height: hb = 9.65769094791
Height: hc = 10.8444234415

Median: ma = 11.62876609858
Median: mb = 9.67658720537
Median: mc = 11.08797111876

Inradius: r = 3.53774240605
Circumradius: R = 7.26442288045

Vertex coordinates: A[12.2; 0] B[0; 0] C[3.82878688525; 10.8444234415]
Centroid: CG[5.34326229508; 3.6154744805]
Coordinates of the circumscribed circle: U[6.1; 3.94444923784]
Coordinates of the inscribed circle: I[5; 3.53774240605]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.6699405767° = 127°40'10″ = 0.91333411689 rad
∠ B' = β' = 109.4422346346° = 109°26'32″ = 1.23114633687 rad
∠ C' = γ' = 122.8888247887° = 122°53'18″ = 0.9976788116 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     