# 5 22 22 triangle

### Acute isosceles triangle.

Sides: a = 5   b = 22   c = 22

Area: T = 54.6443732486
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 13.05499576883° = 13°3' = 0.22877647289 rad
Angle ∠ B = β = 83.47550211559° = 83°28'30″ = 1.45769139623 rad
Angle ∠ C = γ = 83.47550211559° = 83°28'30″ = 1.45769139623 rad

Height: ha = 21.85774929944
Height: hb = 4.96876120442
Height: hc = 4.96876120442

Median: ma = 21.85774929944
Median: mb = 11.55442200083
Median: mc = 11.55442200083

Inradius: r = 2.2330356428
Circumradius: R = 11.07217180631

Vertex coordinates: A[22; 0] B[0; 0] C[0.56881818182; 4.96876120442]
Centroid: CG[7.52327272727; 1.65658706814]
Coordinates of the circumscribed circle: U[11; 1.25881497799]
Coordinates of the inscribed circle: I[2.5; 2.2330356428]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.9550042312° = 166°57' = 0.22877647289 rad
∠ B' = β' = 96.52549788441° = 96°31'30″ = 1.45769139623 rad
∠ C' = γ' = 96.52549788441° = 96°31'30″ = 1.45769139623 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.