# 8 19 22 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 19   c = 22

Area: T = 74.55549294145
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 20.8999027966° = 20°53'57″ = 0.36547568485 rad
Angle ∠ B = β = 57.91100487437° = 57°54'36″ = 1.01107210206 rad
Angle ∠ C = γ = 101.191092329° = 101°11'27″ = 1.76661147845 rad

Height: ha = 18.63987323536
Height: hb = 7.84878873068
Height: hc = 6.77877208559

Median: ma = 20.16218451537
Median: mb = 13.55554417117
Median: mc = 9.56655632349

Inradius: r = 3.04330583434
Circumradius: R = 11.21332089262

Vertex coordinates: A[22; 0] B[0; 0] C[4.25; 6.77877208559]
Centroid: CG[8.75; 2.25992402853]
Coordinates of the circumscribed circle: U[11; -2.1766247785]
Coordinates of the inscribed circle: I[5.5; 3.04330583434]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.1010972034° = 159°6'3″ = 0.36547568485 rad
∠ B' = β' = 122.0989951256° = 122°5'24″ = 1.01107210206 rad
∠ C' = γ' = 78.80990767097° = 78°48'33″ = 1.76661147845 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.