# 19 23 27 triangle

### Acute scalene triangle.

Sides: a = 19   b = 23   c = 27

Area: T = 214.7610768065
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 43.76217426927° = 43°45'42″ = 0.76437864964 rad
Angle ∠ B = β = 56.8533365158° = 56°51'12″ = 0.99222784128 rad
Angle ∠ C = γ = 79.38548921493° = 79°23'6″ = 1.38655277443 rad

Height: ha = 22.60663966385
Height: hb = 18.6754849397
Height: hc = 15.90882050419

Median: ma = 23.21109887769
Median: mb = 20.31662496539
Median: mc = 16.21095650774

Inradius: r = 6.2254949799
Circumradius: R = 13.73550505242

Vertex coordinates: A[27; 0] B[0; 0] C[10.38988888889; 15.90882050419]
Centroid: CG[12.4632962963; 5.3032735014]
Coordinates of the circumscribed circle: U[13.5; 2.5330140886]
Coordinates of the inscribed circle: I[11.5; 6.2254949799]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.2388257307° = 136°14'18″ = 0.76437864964 rad
∠ B' = β' = 123.1476634842° = 123°8'48″ = 0.99222784128 rad
∠ C' = γ' = 100.6155107851° = 100°36'54″ = 1.38655277443 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.