# 9 14 19 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 14   c = 19

Area: T = 59.39769696197
Perimeter: p = 42
Semiperimeter: s = 21

Angle ∠ A = α = 26.52553520166° = 26°31'31″ = 0.46329547279 rad
Angle ∠ B = β = 44.00334273489° = 44°12″ = 0.76880046894 rad
Angle ∠ C = γ = 109.4711220634° = 109°28'16″ = 1.91106332362 rad

Height: ha = 13.19993265821
Height: hb = 8.48552813742
Height: hc = 6.25223125915

Median: ma = 16.077015868
Median: mb = 13.11548770486
Median: mc = 6.94662219947

Inradius: r = 2.82884271247
Circumradius: R = 10.07662716319

Vertex coordinates: A[19; 0] B[0; 0] C[6.47436842105; 6.25223125915]
Centroid: CG[8.49112280702; 2.08441041972]
Coordinates of the circumscribed circle: U[9.5; -3.35987572106]
Coordinates of the inscribed circle: I[7; 2.82884271247]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.4754647983° = 153°28'29″ = 0.46329547279 rad
∠ B' = β' = 135.9976572651° = 135°59'48″ = 0.76880046894 rad
∠ C' = γ' = 70.52987793655° = 70°31'44″ = 1.91106332362 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.