# 13 19 27 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 19   c = 27

Area: T = 113.0366222071
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 26.14877242894° = 26°8'52″ = 0.45663638808 rad
Angle ∠ B = β = 40.09768097336° = 40°5'49″ = 0.76998213494 rad
Angle ∠ C = γ = 113.7555465977° = 113°45'20″ = 1.98554074234 rad

Height: ha = 17.39901880109
Height: hb = 11.89985496916
Height: hc = 8.37330534867

Median: ma = 22.42220873248
Median: mb = 18.94106969249
Median: mc = 9.09767026993

Inradius: r = 3.83217363414
Circumradius: R = 14.75496967738

Vertex coordinates: A[27; 0] B[0; 0] C[9.94444444444; 8.37330534867]
Centroid: CG[12.31548148148; 2.79110178289]
Coordinates of the circumscribed circle: U[13.5; -5.94216794696]
Coordinates of the inscribed circle: I[10.5; 3.83217363414]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.8522275711° = 153°51'8″ = 0.45663638808 rad
∠ B' = β' = 139.9033190266° = 139°54'11″ = 0.76998213494 rad
∠ C' = γ' = 66.24545340229° = 66°14'40″ = 1.98554074234 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.