# 10 11 19 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 11   c = 19

Area: T = 42.42664068712
Perimeter: p = 40
Semiperimeter: s = 20

Angle ∠ A = α = 23.95334516247° = 23°57'12″ = 0.41880665981 rad
Angle ∠ B = β = 26.52553520166° = 26°31'31″ = 0.46329547279 rad
Angle ∠ C = γ = 129.5211196359° = 129°31'16″ = 2.26105713276 rad

Height: ha = 8.48552813742
Height: hb = 7.71438921584
Height: hc = 4.46659375654

Median: ma = 14.69769384567
Median: mb = 14.15109716981
Median: mc = 4.5

Inradius: r = 2.12113203436
Circumradius: R = 12.31554431057

Vertex coordinates: A[19; 0] B[0; 0] C[8.94773684211; 4.46659375654]
Centroid: CG[9.31657894737; 1.48986458551]
Coordinates of the circumscribed circle: U[9.5; -7.83771001582]
Coordinates of the inscribed circle: I[9; 2.12113203436]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.0476548375° = 156°2'48″ = 0.41880665981 rad
∠ B' = β' = 153.4754647983° = 153°28'29″ = 0.46329547279 rad
∠ C' = γ' = 50.47988036414° = 50°28'44″ = 2.26105713276 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.