12.37 8.06 8.94 triangle

Obtuse scalene triangle.

Sides: a = 12.37   b = 8.06   c = 8.94

Area: T = 35.97108276783
Perimeter: p = 29.37
Semiperimeter: s = 14.685

Angle ∠ A = α = 93.23438897447° = 93°14'2″ = 1.62772383505 rad
Angle ∠ B = β = 40.58222378543° = 40°34'56″ = 0.70882936684 rad
Angle ∠ C = γ = 46.1843872401° = 46°11'2″ = 0.80660606347 rad

Height: ha = 5.81658169245
Height: hb = 8.92657636919
Height: hc = 8.04771650287

Median: ma = 5.8477168118
Median: mb = 10.01114609324
Median: mc = 9.43444766681

Inradius: r = 2.44994945644
Circumradius: R = 6.19548648775

Vertex coordinates: A[8.94; 0] B[0; 0] C[9.39546812081; 8.04771650287]
Centroid: CG[6.11215604027; 2.68223883429]
Coordinates of the circumscribed circle: U[4.47; 4.28989918222]
Coordinates of the inscribed circle: I[6.625; 2.44994945644]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 86.76661102553° = 86°45'58″ = 1.62772383505 rad
∠ B' = β' = 139.4187762146° = 139°25'4″ = 0.70882936684 rad
∠ C' = γ' = 133.8166127599° = 133°48'58″ = 0.80660606347 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     