# 8 17 23 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 17   c = 23

Area: T = 51.84659255873
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 15.37986321732° = 15°22'43″ = 0.26884077659 rad
Angle ∠ B = β = 34.30111527568° = 34°18'4″ = 0.59986680528 rad
Angle ∠ C = γ = 130.322021507° = 130°19'13″ = 2.27545168349 rad

Height: ha = 12.96114813968
Height: hb = 6.10995206573
Height: hc = 4.50883413554

Median: ma = 19.82442276016
Median: mb = 14.97549791319
Median: mc = 6.65220673478

Inradius: r = 2.16602468995
Circumradius: R = 15.08331524588

Vertex coordinates: A[23; 0] B[0; 0] C[6.60986956522; 4.50883413554]
Centroid: CG[9.87695652174; 1.50327804518]
Coordinates of the circumscribed circle: U[11.5; -9.76596868851]
Coordinates of the inscribed circle: I[7; 2.16602468995]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.6211367827° = 164°37'17″ = 0.26884077659 rad
∠ B' = β' = 145.6998847243° = 145°41'56″ = 0.59986680528 rad
∠ C' = γ' = 49.687978493° = 49°40'47″ = 2.27545168349 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.