# 14 18 19 triangle

### Acute scalene triangle.

Sides: a = 14   b = 18   c = 19

Area: T = 119.5665620059
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 44.36439892911° = 44°21'50″ = 0.77442976824 rad
Angle ∠ B = β = 64.02655740731° = 64°1'32″ = 1.11774570731 rad
Angle ∠ C = γ = 71.61104366358° = 71°36'38″ = 1.25498378981 rad

Height: ha = 17.08108028655
Height: hb = 13.28550688954
Height: hc = 12.5865854743

Median: ma = 17.1321841699
Median: mb = 14.05334693226
Median: mc = 13.02988142208

Inradius: r = 4.68988478454
Circumradius: R = 10.01112390118

Vertex coordinates: A[19; 0] B[0; 0] C[6.13215789474; 12.5865854743]
Centroid: CG[8.37771929825; 4.19552849143]
Coordinates of the circumscribed circle: U[9.5; 3.15883075454]
Coordinates of the inscribed circle: I[7.5; 4.68988478454]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.6366010709° = 135°38'10″ = 0.77442976824 rad
∠ B' = β' = 115.9744425927° = 115°58'28″ = 1.11774570731 rad
∠ C' = γ' = 108.3989563364° = 108°23'22″ = 1.25498378981 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.