# 16 19 30 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 19   c = 30

Area: T = 134.533043336
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 28.16765785968° = 28°10' = 0.49215995355 rad
Angle ∠ B = β = 34.09333908114° = 34°5'36″ = 0.59550419228 rad
Angle ∠ C = γ = 117.7440030592° = 117°44'24″ = 2.05549511952 rad

Height: ha = 16.816630417
Height: hb = 14.16110982484
Height: hc = 8.96986955573

Median: ma = 23.80112604708
Median: mb = 22.08550628254
Median: mc = 9.13878334412

Inradius: r = 4.13993979495
Circumradius: R = 16.94878380695

Vertex coordinates: A[30; 0] B[0; 0] C[13.25; 8.96986955573]
Centroid: CG[14.41766666667; 2.99895651858]
Coordinates of the circumscribed circle: U[15; -7.88985496277]
Coordinates of the inscribed circle: I[13.5; 4.13993979495]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.8333421403° = 151°50' = 0.49215995355 rad
∠ B' = β' = 145.9076609189° = 145°54'24″ = 0.59550419228 rad
∠ C' = γ' = 62.26599694082° = 62°15'36″ = 2.05549511952 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    