# 6 20 22 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 20   c = 22

Area: T = 58.78877538268
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 15.49987327566° = 15°29'55″ = 0.27105039165 rad
Angle ∠ B = β = 62.96443082106° = 62°57'52″ = 1.09989344895 rad
Angle ∠ C = γ = 101.5376959033° = 101°32'13″ = 1.77221542476 rad

Height: ha = 19.59659179423
Height: hb = 5.87987753827
Height: hc = 5.3444341257

Median: ma = 20.80986520467
Median: mb = 12.64991106407
Median: mc = 9.84988578018

Inradius: r = 2.44994897428
Circumradius: R = 11.22768279878

Vertex coordinates: A[22; 0] B[0; 0] C[2.72772727273; 5.3444341257]
Centroid: CG[8.24224242424; 1.78114470857]
Coordinates of the circumscribed circle: U[11; -2.24553655976]
Coordinates of the inscribed circle: I[4; 2.44994897428]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.5011267243° = 164°30'5″ = 0.27105039165 rad
∠ B' = β' = 117.0365691789° = 117°2'8″ = 1.09989344895 rad
∠ C' = γ' = 78.46330409672° = 78°27'47″ = 1.77221542476 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.