19 21 22 triangle

Acute scalene triangle.

Sides: a = 19   b = 21   c = 22

Area: T = 182.9755408184
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 52.38223203336° = 52°22'56″ = 0.91442439597 rad
Angle ∠ B = β = 61.10218844875° = 61°6'7″ = 1.06664290635 rad
Angle ∠ C = γ = 66.51657951789° = 66°30'57″ = 1.16109196305 rad

Height: ha = 19.26105692825
Height: hb = 17.42662293508
Height: hc = 16.63441280167

Median: ma = 19.29437813816
Median: mb = 17.67105970471
Median: mc = 16.73332005307

Vertex coordinates: A[22; 0] B[0; 0] C[9.18218181818; 16.63441280167]
Centroid: CG[10.39439393939; 5.54547093389]
Coordinates of the circumscribed circle: U[11; 4.77993307783]
Coordinates of the inscribed circle: I[10; 5.90224325221]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.6187679666° = 127°37'4″ = 0.91442439597 rad
∠ B' = β' = 118.8988115512° = 118°53'53″ = 1.06664290635 rad
∠ C' = γ' = 113.4844204821° = 113°29'3″ = 1.16109196305 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    