2 21 22 triangle

Obtuse scalene triangle.

Sides: a = 2   b = 21   c = 22

Area: T = 18.59993951515
Perimeter: p = 45
Semiperimeter: s = 22.5

Angle ∠ A = α = 4.6188275596° = 4°37'6″ = 0.08106041149 rad
Angle ∠ B = β = 57.71877199078° = 57°43'4″ = 1.00773642491 rad
Angle ∠ C = γ = 117.6644004496° = 117°39'50″ = 2.05436242895 rad

Height: ha = 18.59993951515
Height: hb = 1.77113709668
Height: hc = 1.69108541047

Median: ma = 21.48325510589
Median: mb = 11.56550335062
Median: mc = 10.07547208398

Vertex coordinates: A[22; 0] B[0; 0] C[1.06881818182; 1.69108541047]
Centroid: CG[7.68993939394; 0.56436180349]
Coordinates of the circumscribed circle: U[11; -5.76663165456]
Coordinates of the inscribed circle: I[1.5; 0.82766397845]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 175.3821724404° = 175°22'54″ = 0.08106041149 rad
∠ B' = β' = 122.2822280092° = 122°16'56″ = 1.00773642491 rad
∠ C' = γ' = 62.33659955038° = 62°20'10″ = 2.05436242895 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    