# 20 22 26 triangle

### Acute scalene triangle.

Sides: a = 20   b = 22   c = 26

Area: T = 213.7666227454
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 48.36986204606° = 48°22'7″ = 0.84441916817 rad
Angle ∠ B = β = 55.30333976437° = 55°18'12″ = 0.96552263764 rad
Angle ∠ C = γ = 76.32879818956° = 76°19'41″ = 1.33221745955 rad

Height: ha = 21.37766227454
Height: hb = 19.43332934049
Height: hc = 16.4443555958

Median: ma = 21.90989023002
Median: mb = 20.42105778567
Median: mc = 16.52327116419

Inradius: r = 6.28772419839
Circumradius: R = 13.37991012456

Vertex coordinates: A[26; 0] B[0; 0] C[11.38546153846; 16.4443555958]
Centroid: CG[12.46215384615; 5.48111853193]
Coordinates of the circumscribed circle: U[13; 3.16223330217]
Coordinates of the inscribed circle: I[12; 6.28772419839]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.6311379539° = 131°37'53″ = 0.84441916817 rad
∠ B' = β' = 124.6976602356° = 124°41'48″ = 0.96552263764 rad
∠ C' = γ' = 103.6722018104° = 103°40'19″ = 1.33221745955 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.