11 16 22 triangle

Obtuse scalene triangle.

Sides: a = 11   b = 16   c = 22

Area: T = 83.8365776969
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 28.44766098654° = 28°26'48″ = 0.49664870032 rad
Angle ∠ B = β = 43.85767453647° = 43°51'24″ = 0.76554446058 rad
Angle ∠ C = γ = 107.697664477° = 107°41'48″ = 1.88796610446 rad

Height: ha = 15.24328685398
Height: hb = 10.47994721211
Height: hc = 7.62114342699

Median: ma = 18.43223085912
Median: mb = 15.44334452115
Median: mc = 8.21658383626

Vertex coordinates: A[22; 0] B[0; 0] C[7.93218181818; 7.62114342699]
Centroid: CG[9.97772727273; 2.544047809]
Coordinates of the circumscribed circle: U[11; -3.51098380505]
Coordinates of the inscribed circle: I[8.5; 3.42218684477]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.5533390135° = 151°33'12″ = 0.49664870032 rad
∠ B' = β' = 136.1433254635° = 136°8'36″ = 0.76554446058 rad
∠ C' = γ' = 72.30333552301° = 72°18'12″ = 1.88796610446 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    