# 6 19 23 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 19   c = 23

Area: T = 46.47658001545
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 12.28108543959° = 12°16'51″ = 0.21443413442 rad
Angle ∠ B = β = 42.34326054522° = 42°20'33″ = 0.7399017879 rad
Angle ∠ C = γ = 125.3776540152° = 125°22'36″ = 2.18882334304 rad

Height: ha = 15.49219333848
Height: hb = 4.89221894899
Height: hc = 4.04113739265

Median: ma = 20.88106130178
Median: mb = 13.86554246239
Median: mc = 8.1399410298

Inradius: r = 1.93664916731
Circumradius: R = 14.10441143524

Vertex coordinates: A[23; 0] B[0; 0] C[4.43547826087; 4.04113739265]
Centroid: CG[9.14549275362; 1.34771246422]
Coordinates of the circumscribed circle: U[11.5; -8.16655398883]
Coordinates of the inscribed circle: I[5; 1.93664916731]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.7199145604° = 167°43'9″ = 0.21443413442 rad
∠ B' = β' = 137.6577394548° = 137°39'27″ = 0.7399017879 rad
∠ C' = γ' = 54.62334598481° = 54°37'24″ = 2.18882334304 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.