# 9 22 23 triangle

### Acute scalene triangle.

Sides: a = 9   b = 22   c = 23

Area: T = 98.59900603509
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 22.93548404439° = 22°56'5″ = 0.44002884792 rad
Angle ∠ B = β = 72.28110681266° = 72°16'52″ = 1.26215426257 rad
Angle ∠ C = γ = 84.78440914295° = 84°47'3″ = 1.48797615488 rad

Height: ha = 21.90989023002
Height: hb = 8.96327327592
Height: hc = 8.57330487262

Median: ma = 22.05110770712
Median: mb = 13.56546599663
Median: mc = 12.25876506721

Inradius: r = 3.65114837167
Circumradius: R = 11.54878172541

Vertex coordinates: A[23; 0] B[0; 0] C[2.73991304348; 8.57330487262]
Centroid: CG[8.58797101449; 2.85876829087]
Coordinates of the circumscribed circle: U[11.5; 1.05498015686]
Coordinates of the inscribed circle: I[5; 3.65114837167]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.0655159556° = 157°3'55″ = 0.44002884792 rad
∠ B' = β' = 107.7198931873° = 107°43'8″ = 1.26215426257 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.