# 4 22 22 triangle

### Acute isosceles triangle.

Sides: a = 4   b = 22   c = 22

Area: T = 43.81878046004
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 10.43218171409° = 10°25'55″ = 0.18220695561 rad
Angle ∠ B = β = 84.78440914295° = 84°47'3″ = 1.48797615488 rad
Angle ∠ C = γ = 84.78440914295° = 84°47'3″ = 1.48797615488 rad

Height: ha = 21.90989023002
Height: hb = 3.98334367819
Height: hc = 3.98334367819

Median: ma = 21.90989023002
Median: mb = 11.35878166916
Median: mc = 11.35878166916

Inradius: r = 1.82657418584
Circumradius: R = 11.0465738243

Vertex coordinates: A[22; 0] B[0; 0] C[0.36436363636; 3.98334367819]
Centroid: CG[7.45545454545; 1.32878122606]
Coordinates of the circumscribed circle: U[11; 1.00441580221]
Coordinates of the inscribed circle: I[2; 1.82657418584]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.5688182859° = 169°34'5″ = 0.18220695561 rad
∠ B' = β' = 95.21659085705° = 95°12'57″ = 1.48797615488 rad
∠ C' = γ' = 95.21659085705° = 95°12'57″ = 1.48797615488 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.