# 16 18 19 triangle

### Acute scalene triangle.

Sides: a = 16   b = 18   c = 19

Area: T = 133.1865725587
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 51.15766718327° = 51°9'24″ = 0.89328523578 rad
Angle ∠ B = β = 61.19899160656° = 61°11'24″ = 1.06879655044 rad
Angle ∠ C = γ = 67.65334121016° = 67°39'12″ = 1.18107747914 rad

Height: ha = 16.64882156983
Height: hb = 14.79884139541
Height: hc = 14.02195500617

Median: ma = 16.68883192683
Median: mb = 15.0833103129
Median: mc = 14.13332940251

Inradius: r = 5.02658764372
Circumradius: R = 10.27113710045

Vertex coordinates: A[19; 0] B[0; 0] C[7.71105263158; 14.02195500617]
Centroid: CG[8.90435087719; 4.67331833539]
Coordinates of the circumscribed circle: U[9.5; 3.90552608507]
Coordinates of the inscribed circle: I[8.5; 5.02658764372]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.8433328167° = 128°50'36″ = 0.89328523578 rad
∠ B' = β' = 118.8110083934° = 118°48'36″ = 1.06879655044 rad
∠ C' = γ' = 112.3476587898° = 112°20'48″ = 1.18107747914 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.