# 8 22 23 triangle

### Acute scalene triangle.

Sides: a = 8   b = 22   c = 23

Area: T = 87.87217104647
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 20.32334214225° = 20°19'24″ = 0.35547106191 rad
Angle ∠ B = β = 72.77107522394° = 72°46'15″ = 1.27700892257 rad
Angle ∠ C = γ = 86.9065826338° = 86°54'21″ = 1.51767928088 rad

Height: ha = 21.96879276162
Height: hb = 7.9888337315
Height: hc = 7.64110183013

Median: ma = 22.14772345904
Median: mb = 13.24876412995
Median: mc = 11.90658808998

Inradius: r = 3.31659136024
Circumradius: R = 11.51767895862

Vertex coordinates: A[23; 0] B[0; 0] C[2.37695652174; 7.64110183013]
Centroid: CG[8.45765217391; 2.54770061004]
Coordinates of the circumscribed circle: U[11.5; 0.62216448924]
Coordinates of the inscribed circle: I[4.5; 3.31659136024]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.6776578577° = 159°40'36″ = 0.35547106191 rad
∠ B' = β' = 107.2299247761° = 107°13'45″ = 1.27700892257 rad
∠ C' = γ' = 93.0944173662° = 93°5'39″ = 1.51767928088 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.