# 14 16 19 triangle

### Acute scalene triangle.

Sides: a = 14   b = 16   c = 19

Area: T = 109.6655115237
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 46.1776892052° = 46°10'37″ = 0.80659388046 rad
Angle ∠ B = β = 55.54328682537° = 55°32'34″ = 0.9699405927 rad
Angle ∠ C = γ = 78.28802396942° = 78°16'49″ = 1.36662479219 rad

Height: ha = 15.66664450339
Height: hb = 13.70881394047
Height: hc = 11.54436963408

Median: ma = 16.10990036936
Median: mb = 14.64658185159
Median: mc = 11.65111801977

Inradius: r = 4.47661271525
Circumradius: R = 9.70222649153

Vertex coordinates: A[19; 0] B[0; 0] C[7.92110526316; 11.54436963408]
Centroid: CG[8.97436842105; 3.84878987803]
Coordinates of the circumscribed circle: U[9.5; 1.97107725609]
Coordinates of the inscribed circle: I[8.5; 4.47661271525]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.8233107948° = 133°49'23″ = 0.80659388046 rad
∠ B' = β' = 124.4577131746° = 124°27'26″ = 0.9699405927 rad
∠ C' = γ' = 101.7219760306° = 101°43'11″ = 1.36662479219 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.