# 4 17 19 triangle

### Obtuse scalene triangle.

Sides: a = 4   b = 17   c = 19

Area: T = 30.98438667697
Perimeter: p = 40
Semiperimeter: s = 20

Angle ∠ A = α = 11.06108009808° = 11°3'39″ = 0.1933047395 rad
Angle ∠ B = β = 54.62334598481° = 54°37'24″ = 0.95333592232 rad
Angle ∠ C = γ = 114.3165739171° = 114°18'57″ = 1.99551860354 rad

Height: ha = 15.49219333848
Height: hb = 3.64551607964
Height: hc = 3.261145966

Median: ma = 17.91664728672
Median: mb = 10.78219293264
Median: mc = 7.8989866919

Inradius: r = 1.54991933385
Circumradius: R = 10.42547801735

Vertex coordinates: A[19; 0] B[0; 0] C[2.31657894737; 3.261145966]
Centroid: CG[7.10552631579; 1.087715322]
Coordinates of the circumscribed circle: U[9.5; -4.2932556542]
Coordinates of the inscribed circle: I[3; 1.54991933385]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.9399199019° = 168°56'21″ = 0.1933047395 rad
∠ B' = β' = 125.3776540152° = 125°22'36″ = 0.95333592232 rad
∠ C' = γ' = 65.68442608288° = 65°41'3″ = 1.99551860354 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.