# 10 16 22 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 16   c = 22

Area: T = 73.32112111193
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 24.62199773287° = 24°37'12″ = 0.43296996662 rad
Angle ∠ B = β = 41.80218441931° = 41°48'7″ = 0.73295798146 rad
Angle ∠ C = γ = 113.5788178478° = 113°34'41″ = 1.98223131729 rad

Height: ha = 14.66442422239
Height: hb = 9.16551513899
Height: hc = 6.66655646472

Median: ma = 18.5744175621
Median: mb = 15.10996688705
Median: mc = 7.55498344353

Inradius: r = 3.05550504633
Circumradius: R = 12.0021983963

Vertex coordinates: A[22; 0] B[0; 0] C[7.45545454545; 6.66655646472]
Centroid: CG[9.81881818182; 2.22218548824]
Coordinates of the circumscribed circle: U[11; -4.80107935852]
Coordinates of the inscribed circle: I[8; 3.05550504633]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.3880022671° = 155°22'48″ = 0.43296996662 rad
∠ B' = β' = 138.1988155807° = 138°11'53″ = 0.73295798146 rad
∠ C' = γ' = 66.42218215218° = 66°25'19″ = 1.98223131729 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    