# 5 19 22 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 19   c = 22

Area: T = 40.69439798988
Perimeter: p = 46
Semiperimeter: s = 23

Angle ∠ A = α = 11.22876684821° = 11°13'40″ = 0.19659597823 rad
Angle ∠ B = β = 47.72220924012° = 47°43'20″ = 0.83329076383 rad
Angle ∠ C = γ = 121.0550239117° = 121°3'1″ = 2.11327252329 rad

Height: ha = 16.27875919595
Height: hb = 4.28435768314
Height: hc = 3.69994527181

Median: ma = 20.40222057631
Median: mb = 12.8166005618
Median: mc = 8.48552813742

Inradius: r = 1.76993034739
Circumradius: R = 12.84397370152

Vertex coordinates: A[22; 0] B[0; 0] C[3.36436363636; 3.69994527181]
Centroid: CG[8.45545454545; 1.2333150906]
Coordinates of the circumscribed circle: U[11; -6.62326011973]
Coordinates of the inscribed circle: I[4; 1.76993034739]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.7722331518° = 168°46'20″ = 0.19659597823 rad
∠ B' = β' = 132.2787907599° = 132°16'40″ = 0.83329076383 rad
∠ C' = γ' = 58.95497608832° = 58°56'59″ = 2.11327252329 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.