19 22 22 triangle

Acute isosceles triangle.

Sides: a = 19   b = 22   c = 22

Area: T = 188.5109780913
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 51.16660039548° = 51°9'58″ = 0.89330152341 rad
Angle ∠ B = β = 64.41769980226° = 64°25'1″ = 1.12442887097 rad
Angle ∠ C = γ = 64.41769980226° = 64°25'1″ = 1.12442887097 rad

Height: ha = 19.8433134833
Height: hb = 17.13772528103
Height: hc = 17.13772528103

Median: ma = 19.8433134833
Median: mb = 17.36437553542
Median: mc = 17.36437553542

Vertex coordinates: A[22; 0] B[0; 0] C[8.20545454545; 17.13772528103]
Centroid: CG[10.06881818182; 5.71224176034]
Coordinates of the circumscribed circle: U[11; 5.26663049906]
Coordinates of the inscribed circle: I[9.5; 5.98444374893]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.8343996045° = 128°50'2″ = 0.89330152341 rad
∠ B' = β' = 115.5833001977° = 115°34'59″ = 1.12442887097 rad
∠ C' = γ' = 115.5833001977° = 115°34'59″ = 1.12442887097 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    