# 14 19 19 triangle

### Acute isosceles triangle.

Sides: a = 14   b = 19   c = 19

Area: T = 123.6454652129
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 43.23765448443° = 43°14'12″ = 0.75546200647 rad
Angle ∠ B = β = 68.38217275778° = 68°22'54″ = 1.19334862944 rad
Angle ∠ C = γ = 68.38217275778° = 68°22'54″ = 1.19334862944 rad

Height: ha = 17.66435217327
Height: hb = 13.01552265399
Height: hc = 13.01552265399

Median: ma = 17.66435217327
Median: mb = 13.7220422734
Median: mc = 13.7220422734

Inradius: r = 4.75655635434
Circumradius: R = 10.21988002332

Vertex coordinates: A[19; 0] B[0; 0] C[5.15878947368; 13.01552265399]
Centroid: CG[8.05326315789; 4.33884088466]
Coordinates of the circumscribed circle: U[9.5; 3.76548211385]
Coordinates of the inscribed circle: I[7; 4.75655635434]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.7633455156° = 136°45'48″ = 0.75546200647 rad
∠ B' = β' = 111.6188272422° = 111°37'6″ = 1.19334862944 rad
∠ C' = γ' = 111.6188272422° = 111°37'6″ = 1.19334862944 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    