# 8 20 22 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 20   c = 22

Area: T = 79.84435971134
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 21.28799664684° = 21°16'48″ = 0.37114054796 rad
Angle ∠ B = β = 65.13767118331° = 65°8'12″ = 1.13768500854 rad
Angle ∠ C = γ = 93.58333216985° = 93°35' = 1.63333370886 rad

Height: ha = 19.96108992783
Height: hb = 7.98443597113
Height: hc = 7.25985088285

Median: ma = 20.64397674406
Median: mb = 13.19109059583
Median: mc = 10.53656537529

Inradius: r = 3.19437438845
Circumradius: R = 11.02215475231

Vertex coordinates: A[22; 0] B[0; 0] C[3.36436363636; 7.25985088285]
Centroid: CG[8.45545454545; 2.42195029428]
Coordinates of the circumscribed circle: U[11; -0.68988467202]
Coordinates of the inscribed circle: I[5; 3.19437438845]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.7220033532° = 158°43'12″ = 0.37114054796 rad
∠ B' = β' = 114.8633288167° = 114°51'48″ = 1.13768500854 rad
∠ C' = γ' = 86.41766783015° = 86°25' = 1.63333370886 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.