# 16 16 22 triangle

### Acute isosceles triangle.

Sides: a = 16   b = 16   c = 22

Area: T = 127.8088450425
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 46.56774634422° = 46°34'3″ = 0.81327555614 rad
Angle ∠ B = β = 46.56774634422° = 46°34'3″ = 0.81327555614 rad
Angle ∠ C = γ = 86.86550731156° = 86°51'54″ = 1.51660815309 rad

Height: ha = 15.97660563031
Height: hb = 15.97660563031
Height: hc = 11.61989500386

Median: ma = 17.49328556845
Median: mb = 17.49328556845
Median: mc = 11.61989500386

Inradius: r = 4.7343646312
Circumradius: R = 11.01664859625

Vertex coordinates: A[22; 0] B[0; 0] C[11; 11.61989500386]
Centroid: CG[11; 3.87329833462]
Coordinates of the circumscribed circle: U[11; 0.60224640761]
Coordinates of the inscribed circle: I[11; 4.7343646312]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.4332536558° = 133°25'57″ = 0.81327555614 rad
∠ B' = β' = 133.4332536558° = 133°25'57″ = 0.81327555614 rad
∠ C' = γ' = 93.13549268844° = 93°8'6″ = 1.51660815309 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.