# 19 27 29 triangle

### Acute scalene triangle.

Sides: a = 19   b = 27   c = 29

Area: T = 248.8321644893
Perimeter: p = 75
Semiperimeter: s = 37.5

Angle ∠ A = α = 39.46334085924° = 39°27'48″ = 0.6898766414 rad
Angle ∠ B = β = 64.58219557631° = 64°34'55″ = 1.12771677654 rad
Angle ∠ C = γ = 75.95546356446° = 75°57'17″ = 1.32656584742 rad

Height: ha = 26.19328047255
Height: hb = 18.43219736958
Height: hc = 17.1610803096

Median: ma = 26.35881107062
Median: mb = 20.46333819297
Median: mc = 18.29661744635

Inradius: r = 6.63655105305
Circumradius: R = 14.94768529278

Vertex coordinates: A[29; 0] B[0; 0] C[8.15551724138; 17.1610803096]
Centroid: CG[12.38550574713; 5.72202676987]
Coordinates of the circumscribed circle: U[14.5; 3.62774526111]
Coordinates of the inscribed circle: I[10.5; 6.63655105305]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.5376591408° = 140°32'12″ = 0.6898766414 rad
∠ B' = β' = 115.4188044237° = 115°25'5″ = 1.12771677654 rad
∠ C' = γ' = 104.0455364355° = 104°2'43″ = 1.32656584742 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.