# 5 16 19 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 16   c = 19

Area: T = 34.64110161514
Perimeter: p = 40
Semiperimeter: s = 20

Angle ∠ A = α = 13.17435511073° = 13°10'25″ = 0.2329921841 rad
Angle ∠ B = β = 46.82664488927° = 46°49'35″ = 0.81772757102 rad
Angle ∠ C = γ = 120° = 2.09443951024 rad

Height: ha = 13.85664064606
Height: hb = 4.33301270189
Height: hc = 3.64664227528

Median: ma = 17.38553386507
Median: mb = 11.35878166916
Median: mc = 7.08987234394

Inradius: r = 1.73220508076
Circumradius: R = 10.97696551146

Vertex coordinates: A[19; 0] B[0; 0] C[3.42110526316; 3.64664227528]
Centroid: CG[7.47436842105; 1.21554742509]
Coordinates of the circumscribed circle: U[9.5; -5.48548275573]
Coordinates of the inscribed circle: I[4; 1.73220508076]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.8266448893° = 166°49'35″ = 0.2329921841 rad
∠ B' = β' = 133.1743551107° = 133°10'25″ = 0.81772757102 rad
∠ C' = γ' = 60° = 2.09443951024 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.