# 16 19 23 triangle

### Acute scalene triangle.

Sides: a = 16   b = 19   c = 23

Area: T = 150.3999468084
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 43.49878286118° = 43°29'52″ = 0.75991803267 rad
Angle ∠ B = β = 54.82442119874° = 54°49'27″ = 0.9576863009 rad
Angle ∠ C = γ = 81.67879594008° = 81°40'41″ = 1.42655493179 rad

Height: ha = 18.87999335105
Height: hb = 15.83215229562
Height: hc = 13.0788214616

Median: ma = 19.51992212959
Median: mb = 17.38553386507
Median: mc = 13.27659180474

Inradius: r = 5.18661885546
Circumradius: R = 11.62223815301

Vertex coordinates: A[23; 0] B[0; 0] C[9.21773913043; 13.0788214616]
Centroid: CG[10.73991304348; 4.3599404872]
Coordinates of the circumscribed circle: U[11.5; 1.68221868004]
Coordinates of the inscribed circle: I[10; 5.18661885546]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.5022171388° = 136°30'8″ = 0.75991803267 rad
∠ B' = β' = 125.1765788013° = 125°10'33″ = 0.9576863009 rad
∠ C' = γ' = 98.32220405992° = 98°19'19″ = 1.42655493179 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.