# 16 19 22 triangle

### Acute scalene triangle.

Sides: a = 16   b = 19   c = 22

Area: T = 148.3198702462
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 45.20771662976° = 45°12'26″ = 0.78990138974 rad
Angle ∠ B = β = 57.42884587954° = 57°25'42″ = 1.00223156903 rad
Angle ∠ C = γ = 77.3644374907° = 77°21'52″ = 1.35502630659 rad

Height: ha = 18.54398378077
Height: hb = 15.6122494996
Height: hc = 13.48435184056

Median: ma = 18.93440962288
Median: mb = 16.72657286837
Median: mc = 13.69330639376

Inradius: r = 5.20441649987
Circumradius: R = 11.27330220279

Vertex coordinates: A[22; 0] B[0; 0] C[8.61436363636; 13.48435184056]
Centroid: CG[10.20545454545; 4.49545061352]
Coordinates of the circumscribed circle: U[11; 2.46659735686]
Coordinates of the inscribed circle: I[9.5; 5.20441649987]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.7932833702° = 134°47'34″ = 0.78990138974 rad
∠ B' = β' = 122.5721541205° = 122°34'18″ = 1.00223156903 rad
∠ C' = γ' = 102.6365625093° = 102°38'8″ = 1.35502630659 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.