# 18 22 23 triangle

### Acute scalene triangle.

Sides: a = 18   b = 22   c = 23

Area: T = 185.3087683327
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 47.09114606422° = 47°5'29″ = 0.82219010378 rad
Angle ∠ B = β = 63.53549277848° = 63°32'6″ = 1.10988936799 rad
Angle ∠ C = γ = 69.3743611573° = 69°22'25″ = 1.21107979359 rad

Height: ha = 20.59897425919
Height: hb = 16.84661530297
Height: hc = 16.11437115936

Median: ma = 20.62876513447
Median: mb = 17.47985582929
Median: mc = 16.48548415218

Inradius: r = 5.88327835977
Circumradius: R = 12.28876718284

Vertex coordinates: A[23; 0] B[0; 0] C[8.02217391304; 16.11437115936]
Centroid: CG[10.34105797101; 5.37112371979]
Coordinates of the circumscribed circle: U[11.5; 4.32986116668]
Coordinates of the inscribed circle: I[9.5; 5.88327835977]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.9098539358° = 132°54'31″ = 0.82219010378 rad
∠ B' = β' = 116.4655072215° = 116°27'54″ = 1.10988936799 rad
∠ C' = γ' = 110.6266388427° = 110°37'35″ = 1.21107979359 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.