16 22 29 triangle

Obtuse scalene triangle.

Sides: a = 16   b = 22   c = 29

Area: T = 174.1799325696
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 33.09441684217° = 33°5'39″ = 0.57876022022 rad
Angle ∠ B = β = 48.65773781163° = 48°39'27″ = 0.84992314535 rad
Angle ∠ C = γ = 98.2488453462° = 98°14'54″ = 1.71547589979 rad

Height: ha = 21.7722415712
Height: hb = 15.83444841542
Height: hc = 12.01223672894

Median: ma = 24.46442596455
Median: mb = 20.67660731281
Median: mc = 12.63992246598

Vertex coordinates: A[29; 0] B[0; 0] C[10.56989655172; 12.01223672894]
Centroid: CG[13.19896551724; 4.00441224298]
Coordinates of the circumscribed circle: U[14.5; -2.10220003295]
Coordinates of the inscribed circle: I[11.5; 5.19993828566]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.9065831578° = 146°54'21″ = 0.57876022022 rad
∠ B' = β' = 131.3432621884° = 131°20'33″ = 0.84992314535 rad
∠ C' = γ' = 81.7521546538° = 81°45'6″ = 1.71547589979 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    