# 8 19 23 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 19   c = 23

Area: T = 71.41442842854
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 19.07770172092° = 19°4'37″ = 0.33329567618 rad
Angle ∠ B = β = 50.91877927026° = 50°55'4″ = 0.88986831305 rad
Angle ∠ C = γ = 110.0055190088° = 110°19″ = 1.92199527613 rad

Height: ha = 17.85435710714
Height: hb = 7.51772930827
Height: hc = 6.2109937764

Median: ma = 20.71223151772
Median: mb = 14.36114066163
Median: mc = 8.95882364336

Inradius: r = 2.85765713714
Circumradius: R = 12.23884479344

Vertex coordinates: A[23; 0] B[0; 0] C[5.04334782609; 6.2109937764]
Centroid: CG[9.3487826087; 2.07699792547]
Coordinates of the circumscribed circle: U[11.5; -4.18768374512]
Coordinates of the inscribed circle: I[6; 2.85765713714]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.9232982791° = 160°55'23″ = 0.33329567618 rad
∠ B' = β' = 129.0822207297° = 129°4'56″ = 0.88986831305 rad
∠ C' = γ' = 69.99548099118° = 69°59'41″ = 1.92199527613 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.