# 6 22 27 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 22   c = 27

Area: T = 40.32329153212
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 7.80329967597° = 7°48'11″ = 0.1366187985 rad
Angle ∠ B = β = 29.85554652465° = 29°51'20″ = 0.52110761683 rad
Angle ∠ C = γ = 142.3421537994° = 142°20'30″ = 2.48443285003 rad

Height: ha = 13.44109717737
Height: hb = 3.66657195747
Height: hc = 2.98768826164

Median: ma = 24.44438131232
Median: mb = 16.17109616288
Median: mc = 8.81875960443

Inradius: r = 1.46662878299
Circumradius: R = 22.09766165988

Vertex coordinates: A[27; 0] B[0; 0] C[5.20437037037; 2.98768826164]
Centroid: CG[10.73545679012; 0.99656275388]
Coordinates of the circumscribed circle: U[13.5; -17.49331548074]
Coordinates of the inscribed circle: I[5.5; 1.46662878299]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 172.197700324° = 172°11'49″ = 0.1366187985 rad
∠ B' = β' = 150.1454534754° = 150°8'40″ = 0.52110761683 rad
∠ C' = γ' = 37.65884620062° = 37°39'30″ = 2.48443285003 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.