# 16 19 29 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 19   c = 29

Area: T = 141.3088173861
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 30.85882143757° = 30°51'30″ = 0.53985774421 rad
Angle ∠ B = β = 37.52435132021° = 37°31'25″ = 0.65549088523 rad
Angle ∠ C = γ = 111.6188272422° = 111°37'6″ = 1.94881063592 rad

Height: ha = 17.66435217327
Height: hb = 14.8754544617
Height: hc = 9.74553913008

Median: ma = 23.17332604525
Median: mb = 21.40767746286
Median: mc = 9.91221138008

Inradius: r = 4.41658804332
Circumradius: R = 15.59771161453

Vertex coordinates: A[29; 0] B[0; 0] C[12.69896551724; 9.74553913008]
Centroid: CG[13.89765517241; 3.24884637669]
Coordinates of the circumscribed circle: U[14.5; -5.74663059483]
Coordinates of the inscribed circle: I[13; 4.41658804332]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.1421785624° = 149°8'30″ = 0.53985774421 rad
∠ B' = β' = 142.4766486798° = 142°28'35″ = 0.65549088523 rad
∠ C' = γ' = 68.38217275778° = 68°22'54″ = 1.94881063592 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    