# 4 22 23 triangle

### Obtuse scalene triangle.

Sides: a = 4   b = 22   c = 23

Area: T = 43.39985886867
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 9.8777132917° = 9°52'38″ = 0.17223884901 rad
Angle ∠ B = β = 70.63988350906° = 70°38'20″ = 1.23328802521 rad
Angle ∠ C = γ = 99.48440319925° = 99°29'3″ = 1.73663239114 rad

Height: ha = 21.69992943434
Height: hb = 3.94553262442
Height: hc = 3.77437903206

Median: ma = 22.41765117715
Median: mb = 12.30985336251
Median: mc = 10.85112672071

Inradius: r = 1.77113709668
Circumradius: R = 11.6599365323

Vertex coordinates: A[23; 0] B[0; 0] C[1.32660869565; 3.77437903206]
Centroid: CG[8.10986956522; 1.25879301069]
Coordinates of the circumscribed circle: U[11.5; -1.92111454225]
Coordinates of the inscribed circle: I[2.5; 1.77113709668]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.1232867083° = 170°7'22″ = 0.17223884901 rad
∠ B' = β' = 109.3611164909° = 109°21'40″ = 1.23328802521 rad
∠ C' = γ' = 80.51659680075° = 80°30'57″ = 1.73663239114 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.