# 20 22 23 triangle

### Acute scalene triangle.

Sides: a = 20   b = 22   c = 23

Area: T = 201.304434049
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 52.71985213296° = 52°43'7″ = 0.9220111774 rad
Angle ∠ B = β = 61.07329496159° = 61°4'23″ = 1.06659240547 rad
Angle ∠ C = γ = 66.20985290545° = 66°12'31″ = 1.15655568249 rad

Height: ha = 20.1330434049
Height: hb = 18.330039459
Height: hc = 17.505472526

Median: ma = 20.16218451537
Median: mb = 18.53437529929
Median: mc = 17.65997159068

Inradius: r = 6.19439797074
Circumradius: R = 12.56880350153

Vertex coordinates: A[23; 0] B[0; 0] C[9.67439130435; 17.505472526]
Centroid: CG[10.89113043478; 5.835490842]
Coordinates of the circumscribed circle: U[11.5; 5.077005958]
Coordinates of the inscribed circle: I[10.5; 6.19439797074]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.281147867° = 127°16'53″ = 0.9220111774 rad
∠ B' = β' = 118.9277050384° = 118°55'37″ = 1.06659240547 rad
∠ C' = γ' = 113.7911470945° = 113°47'29″ = 1.15655568249 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.