# 19 19 22 triangle

### Acute isosceles triangle.

Sides: a = 19   b = 19   c = 22

Area: T = 170.4111267233
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 54.62334598481° = 54°37'24″ = 0.95333592232 rad
Angle ∠ B = β = 54.62334598481° = 54°37'24″ = 0.95333592232 rad
Angle ∠ C = γ = 70.75330803039° = 70°45'11″ = 1.23548742072 rad

Height: ha = 17.93880281298
Height: hb = 17.93880281298
Height: hc = 15.49219333848

Median: ma = 18.22877261336
Median: mb = 18.22877261336
Median: mc = 15.49219333848

Inradius: r = 5.68803755744
Circumradius: R = 11.65112248998

Vertex coordinates: A[22; 0] B[0; 0] C[11; 15.49219333848]
Centroid: CG[11; 5.16439777949]
Coordinates of the circumscribed circle: U[11; 3.8410708485]
Coordinates of the inscribed circle: I[11; 5.68803755744]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.3776540152° = 125°22'36″ = 0.95333592232 rad
∠ B' = β' = 125.3776540152° = 125°22'36″ = 0.95333592232 rad
∠ C' = γ' = 109.2476919696° = 109°14'49″ = 1.23548742072 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.