# 8 16 23 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 16   c = 23

Area: T = 36.95985916939
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 11.58773657813° = 11°35'15″ = 0.20222376845 rad
Angle ∠ B = β = 23.68659872791° = 23°41'10″ = 0.41333984646 rad
Angle ∠ C = γ = 144.727664694° = 144°43'36″ = 2.52659565045 rad

Height: ha = 9.24396479235
Height: hb = 4.62198239617
Height: hc = 3.21437905821

Median: ma = 19.40436079119
Median: mb = 15.2487950682
Median: mc = 5.26878268764

Inradius: r = 1.57327060295
Circumradius: R = 19.91441787137

Vertex coordinates: A[23; 0] B[0; 0] C[7.32660869565; 3.21437905821]
Centroid: CG[10.10986956522; 1.07112635274]
Coordinates of the circumscribed circle: U[11.5; -16.25880599655]
Coordinates of the inscribed circle: I[7.5; 1.57327060295]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.4132634219° = 168°24'45″ = 0.20222376845 rad
∠ B' = β' = 156.3144012721° = 156°18'50″ = 0.41333984646 rad
∠ C' = γ' = 35.27333530604° = 35°16'24″ = 2.52659565045 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.