# 9 22 22 triangle

### Acute isosceles triangle.

Sides: a = 9   b = 22   c = 22

Area: T = 96.90768496031
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 23.60657833806° = 23°36'21″ = 0.41219986425 rad
Angle ∠ B = β = 78.19771083097° = 78°11'50″ = 1.36547970055 rad
Angle ∠ C = γ = 78.19771083097° = 78°11'50″ = 1.36547970055 rad

Height: ha = 21.53548554674
Height: hb = 8.81097136003
Height: hc = 8.81097136003

Median: ma = 21.53548554674
Median: mb = 12.70882650271
Median: mc = 12.70882650271

Inradius: r = 3.65768622492
Circumradius: R = 11.23875957371

Vertex coordinates: A[22; 0] B[0; 0] C[1.84109090909; 8.81097136003]
Centroid: CG[7.9476969697; 2.93765712001]
Coordinates of the circumscribed circle: U[11; 2.29985991281]
Coordinates of the inscribed circle: I[4.5; 3.65768622492]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.3944216619° = 156°23'39″ = 0.41219986425 rad
∠ B' = β' = 101.803289169° = 101°48'10″ = 1.36547970055 rad
∠ C' = γ' = 101.803289169° = 101°48'10″ = 1.36547970055 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.