# 12 22 26 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 22   c = 26

Area: T = 131.4533413801
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 27.36330618223° = 27°21'47″ = 0.47875755222 rad
Angle ∠ B = β = 57.42110296072° = 57°25'16″ = 1.00221860265 rad
Angle ∠ C = γ = 95.21659085705° = 95°12'57″ = 1.66218311048 rad

Height: ha = 21.90989023002
Height: hb = 11.95503103456
Height: hc = 10.11218010616

Median: ma = 23.32438075794
Median: mb = 17
Median: mc = 12.04215945788

Inradius: r = 4.382178046
Circumradius: R = 13.05440542872

Vertex coordinates: A[26; 0] B[0; 0] C[6.46215384615; 10.11218010616]
Centroid: CG[10.82105128205; 3.37106003539]
Coordinates of the circumscribed circle: U[13; -1.18767322079]
Coordinates of the inscribed circle: I[8; 4.382178046]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.6376938178° = 152°38'13″ = 0.47875755222 rad
∠ B' = β' = 122.5798970393° = 122°34'44″ = 1.00221860265 rad
∠ C' = γ' = 84.78440914295° = 84°47'3″ = 1.66218311048 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.