# 5 22 26 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 22   c = 26

Area: T = 35.80441547868
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 7.19216907714° = 7°11'30″ = 0.12655186827 rad
Angle ∠ B = β = 33.4244189371° = 33°25'27″ = 0.58333621543 rad
Angle ∠ C = γ = 139.3844119858° = 139°23'3″ = 2.43327118165 rad

Height: ha = 14.32216619147
Height: hb = 3.25549231624
Height: hc = 2.75441657528

Median: ma = 23.9533079134
Median: mb = 15.14992574075
Median: mc = 9.24766210045

Inradius: r = 1.35111001806
Circumradius: R = 19.97697494399

Vertex coordinates: A[26; 0] B[0; 0] C[4.17330769231; 2.75441657528]
Centroid: CG[10.05876923077; 0.91880552509]
Coordinates of the circumscribed circle: U[13; -15.15988552566]
Coordinates of the inscribed circle: I[4.5; 1.35111001806]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 172.8088309229° = 172°48'30″ = 0.12655186827 rad
∠ B' = β' = 146.5765810629° = 146°34'33″ = 0.58333621543 rad
∠ C' = γ' = 40.61658801424° = 40°36'57″ = 2.43327118165 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.