# 3 22 22 triangle

### Acute isosceles triangle.

Sides: a = 3   b = 22   c = 22

Area: T = 32.92332061015
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 7.81991270493° = 7°49'9″ = 0.13664695116 rad
Angle ∠ B = β = 86.09904364753° = 86°5'26″ = 1.5032561571 rad
Angle ∠ C = γ = 86.09904364753° = 86°5'26″ = 1.5032561571 rad

Height: ha = 21.94988040676
Height: hb = 2.99330187365
Height: hc = 2.99330187365

Median: ma = 21.94988040676
Median: mb = 11.20326782512
Median: mc = 11.20326782512

Inradius: r = 1.40109874937
Circumradius: R = 11.02656576738

Vertex coordinates: A[22; 0] B[0; 0] C[0.20545454545; 2.99330187365]
Centroid: CG[7.40215151515; 0.99876729122]
Coordinates of the circumscribed circle: U[11; 0.75217493869]
Coordinates of the inscribed circle: I[1.5; 1.40109874937]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 172.1810872951° = 172°10'51″ = 0.13664695116 rad
∠ B' = β' = 93.91095635247° = 93°54'34″ = 1.5032561571 rad
∠ C' = γ' = 93.91095635247° = 93°54'34″ = 1.5032561571 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.