# 9 17 23 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 17   c = 23

Area: T = 65.36219728894
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 19.53219431377° = 19°31'55″ = 0.34108967171 rad
Angle ∠ B = β = 39.16221067955° = 39°9'44″ = 0.68435077056 rad
Angle ∠ C = γ = 121.3065950067° = 121°18'21″ = 2.11771882309 rad

Height: ha = 14.52548828643
Height: hb = 7.69896438693
Height: hc = 5.68436498165

Median: ma = 19.71767441531
Median: mb = 15.25661463024
Median: mc = 7.26329195232

Inradius: r = 2.66878356281
Circumradius: R = 13.465966104

Vertex coordinates: A[23; 0] B[0; 0] C[6.97882608696; 5.68436498165]
Centroid: CG[9.99327536232; 1.89545499388]
Coordinates of the circumscribed circle: U[11.5; -6.99437454424]
Coordinates of the inscribed circle: I[7.5; 2.66878356281]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.4688056862° = 160°28'5″ = 0.34108967171 rad
∠ B' = β' = 140.8387893204° = 140°50'16″ = 0.68435077056 rad
∠ C' = γ' = 58.69440499332° = 58°41'39″ = 2.11771882309 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.