11 16 20 triangle

Obtuse scalene triangle.

Sides: a = 11   b = 16   c = 20

Area: T = 87.81219439484
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 33.28664163383° = 33°17'11″ = 0.58109575613 rad
Angle ∠ B = β = 52.9677156255° = 52°58'2″ = 0.92444512721 rad
Angle ∠ C = γ = 93.74664274067° = 93°44'47″ = 1.63661838202 rad

Height: ha = 15.96658079906
Height: hb = 10.97664929936
Height: hc = 8.78111943948

Median: ma = 17.25554339267
Median: mb = 14.01878457689
Median: mc = 9.40774438611

Vertex coordinates: A[20; 0] B[0; 0] C[6.625; 8.78111943948]
Centroid: CG[8.875; 2.92770647983]
Coordinates of the circumscribed circle: U[10; -0.65548084169]
Coordinates of the inscribed circle: I[7.5; 3.73766784659]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.7143583662° = 146°42'49″ = 0.58109575613 rad
∠ B' = β' = 127.0332843745° = 127°1'58″ = 0.92444512721 rad
∠ C' = γ' = 86.25435725933° = 86°15'13″ = 1.63661838202 rad

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    