# 19 20 22 triangle

### Acute scalene triangle.

Sides: a = 19   b = 20   c = 22

Area: T = 176.9310600802
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 53.53659579233° = 53°32'9″ = 0.9344378734 rad
Angle ∠ B = β = 57.83992380024° = 57°50'21″ = 1.009948514 rad
Angle ∠ C = γ = 68.62548040744° = 68°37'29″ = 1.19877287796 rad

Height: ha = 18.62442737686
Height: hb = 17.69330600802
Height: hc = 16.08546000729

Median: ma = 18.75549993335
Median: mb = 17.95882849961
Median: mc = 16.10990036936

Inradius: r = 5.8011003305
Circumradius: R = 11.8132541135

Vertex coordinates: A[22; 0] B[0; 0] C[10.11436363636; 16.08546000729]
Centroid: CG[10.70545454545; 5.36215333576]
Coordinates of the circumscribed circle: U[11; 4.30553603873]
Coordinates of the inscribed circle: I[10.5; 5.8011003305]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.4644042077° = 126°27'51″ = 0.9344378734 rad
∠ B' = β' = 122.1610761998° = 122°9'39″ = 1.009948514 rad
∠ C' = γ' = 111.3755195926° = 111°22'31″ = 1.19877287796 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.