# 6 8 13 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 8   c = 13

Area: T = 16.6866446596
Perimeter: p = 27
Semiperimeter: s = 13.5

Angle ∠ A = α = 18.71769506574° = 18°43'1″ = 0.32766724149 rad
Angle ∠ B = β = 25.33216750167° = 25°19'54″ = 0.44221211341 rad
Angle ∠ C = γ = 135.9511374326° = 135°57'5″ = 2.37327991046 rad

Height: ha = 5.56221488653
Height: hb = 4.1721611649
Height: hc = 2.56771456301

Median: ma = 10.36882206767
Median: mb = 9.30105376189
Median: mc = 2.78438821814

Inradius: r = 1.23660330812
Circumradius: R = 9.34989047595

Vertex coordinates: A[13; 0] B[0; 0] C[5.42330769231; 2.56771456301]
Centroid: CG[6.1411025641; 0.856571521]
Coordinates of the circumscribed circle: U[6.5; -6.72195252959]
Coordinates of the inscribed circle: I[5.5; 1.23660330812]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.2833049343° = 161°16'59″ = 0.32766724149 rad
∠ B' = β' = 154.6688324983° = 154°40'6″ = 0.44221211341 rad
∠ C' = γ' = 44.04986256741° = 44°2'55″ = 2.37327991046 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.