# 14 22 22 triangle

### Acute isosceles triangle.

Sides: a = 14   b = 22   c = 22

Area: T = 145.9976575302
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 37.106600907° = 37°6'22″ = 0.64876220305 rad
Angle ∠ B = β = 71.4476995465° = 71°26'49″ = 1.24769853115 rad
Angle ∠ C = γ = 71.4476995465° = 71°26'49″ = 1.24769853115 rad

Height: ha = 20.85766536146
Height: hb = 13.27224159366
Height: hc = 13.27224159366

Median: ma = 20.85766536146
Median: mb = 14.79986485869
Median: mc = 14.79986485869

Inradius: r = 5.03443646656
Circumradius: R = 11.60330118959

Vertex coordinates: A[22; 0] B[0; 0] C[4.45545454545; 13.27224159366]
Centroid: CG[8.81881818182; 4.42441386455]
Coordinates of the circumscribed circle: U[11; 3.69218674214]
Coordinates of the inscribed circle: I[7; 5.03443646656]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.894399093° = 142°53'38″ = 0.64876220305 rad
∠ B' = β' = 108.5533004535° = 108°33'11″ = 1.24769853115 rad
∠ C' = γ' = 108.5533004535° = 108°33'11″ = 1.24769853115 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.