# 8 16 19 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 16   c = 19

Area: T = 63.17438672237
Perimeter: p = 43
Semiperimeter: s = 21.5

Angle ∠ A = α = 24.55882124119° = 24°33'30″ = 0.4298621665 rad
Angle ∠ B = β = 56.22658219451° = 56°13'33″ = 0.98113257176 rad
Angle ∠ C = γ = 99.2165965643° = 99°12'57″ = 1.7321645271 rad

Height: ha = 15.79334668059
Height: hb = 7.8976733403
Height: hc = 6.65498807604

Median: ma = 17.10326313765
Median: mb = 12.1866057607
Median: mc = 8.35216465442

Inradius: r = 2.93883194058
Circumradius: R = 9.62442327203

Vertex coordinates: A[19; 0] B[0; 0] C[4.44773684211; 6.65498807604]
Centroid: CG[7.81657894737; 2.21766269201]
Coordinates of the circumscribed circle: U[9.5; -1.54113810216]
Coordinates of the inscribed circle: I[5.5; 2.93883194058]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.4421787588° = 155°26'30″ = 0.4298621665 rad
∠ B' = β' = 123.7744178055° = 123°46'27″ = 0.98113257176 rad
∠ C' = γ' = 80.7844034357° = 80°47'3″ = 1.7321645271 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.