# 3 22 23 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 22   c = 23

Area: T = 31.74990157328
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 7.20990639741° = 7°12'33″ = 0.12658219023 rad
Angle ∠ B = β = 66.96443158941° = 66°57'52″ = 1.16987477937 rad
Angle ∠ C = γ = 105.8276620132° = 105°49'36″ = 1.84770229576 rad

Height: ha = 21.16660104885
Height: hb = 2.88662741575
Height: hc = 2.76107839768

Median: ma = 22.45655115729
Median: mb = 12.16655250606
Median: mc = 10.68987791632

Inradius: r = 1.32328756555
Circumradius: R = 11.95331264589

Vertex coordinates: A[23; 0] B[0; 0] C[1.17439130435; 2.76107839768]
Centroid: CG[8.05879710145; 0.92202613256]
Coordinates of the circumscribed circle: U[11.5; -3.26599435797]
Coordinates of the inscribed circle: I[2; 1.32328756555]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 172.7910936026° = 172°47'27″ = 0.12658219023 rad
∠ B' = β' = 113.0365684106° = 113°2'8″ = 1.16987477937 rad
∠ C' = γ' = 74.17333798681° = 74°10'24″ = 1.84770229576 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.