# 14 19 23 triangle

### Acute scalene triangle.

Sides: a = 14   b = 19   c = 23

Area: T = 132.8165661727
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 37.43443500203° = 37°26'4″ = 0.65333526612 rad
Angle ∠ B = β = 55.58326112896° = 55°34'57″ = 0.97700995739 rad
Angle ∠ C = γ = 86.98330386902° = 86°58'59″ = 1.51881404185 rad

Height: ha = 18.9743665961
Height: hb = 13.98105959713
Height: hc = 11.54991879763

Median: ma = 19.98997487421
Median: mb = 16.5
Median: mc = 12.09333866224

Inradius: r = 4.74334164903
Circumradius: R = 11.51659611458

Vertex coordinates: A[23; 0] B[0; 0] C[7.91330434783; 11.54991879763]
Centroid: CG[10.30443478261; 3.85497293254]
Coordinates of the circumscribed circle: U[11.5; 0.60661032182]
Coordinates of the inscribed circle: I[9; 4.74334164903]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.566564998° = 142°33'56″ = 0.65333526612 rad
∠ B' = β' = 124.417738871° = 124°25'3″ = 0.97700995739 rad
∠ C' = γ' = 93.01769613098° = 93°1'1″ = 1.51881404185 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.