# 16 22 22 triangle

### Acute isosceles triangle.

Sides: a = 16   b = 22   c = 22

Area: T = 163.9511212255
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 42.6477372527° = 42°38'51″ = 0.74443370679 rad
Angle ∠ B = β = 68.67663137365° = 68°40'35″ = 1.19986277928 rad
Angle ∠ C = γ = 68.67663137365° = 68°40'35″ = 1.19986277928 rad

Height: ha = 20.49439015319
Height: hb = 14.90546556596
Height: hc = 14.90546556596

Median: ma = 20.49439015319
Median: mb = 15.78797338381
Median: mc = 15.78797338381

Inradius: r = 5.46550404085
Circumradius: R = 11.80883908827

Vertex coordinates: A[22; 0] B[0; 0] C[5.81881818182; 14.90546556596]
Centroid: CG[9.27327272727; 4.96882185532]
Coordinates of the circumscribed circle: U[11; 4.2943960321]
Coordinates of the inscribed circle: I[8; 5.46550404085]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.3532627473° = 137°21'9″ = 0.74443370679 rad
∠ B' = β' = 111.3243686263° = 111°19'25″ = 1.19986277928 rad
∠ C' = γ' = 111.3243686263° = 111°19'25″ = 1.19986277928 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.