# 5 23 26 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 23   c = 26

Area: T = 48.74442304278
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 9.38224743739° = 9°22'57″ = 0.16437550698 rad
Angle ∠ B = β = 48.58326895819° = 48°34'58″ = 0.84879278927 rad
Angle ∠ C = γ = 122.0354836044° = 122°2'5″ = 2.13299096911 rad

Height: ha = 19.49876921711
Height: hb = 4.23986287329
Height: hc = 3.75495561868

Median: ma = 24.41882308941
Median: mb = 14.77332867027
Median: mc = 10.39223048454

Inradius: r = 1.80553418677
Circumradius: R = 15.33551482512

Vertex coordinates: A[26; 0] B[0; 0] C[3.30876923077; 3.75495561868]
Centroid: CG[9.76992307692; 1.25498520623]
Coordinates of the circumscribed circle: U[13; -8.13442960289]
Coordinates of the inscribed circle: I[4; 1.80553418677]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.6187525626° = 170°37'3″ = 0.16437550698 rad
∠ B' = β' = 131.4177310418° = 131°25'2″ = 0.84879278927 rad
∠ C' = γ' = 57.96551639558° = 57°57'55″ = 2.13299096911 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.