# 10 19 23 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 19   c = 23

Area: T = 93.46765715644
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 25.32657813471° = 25°19'33″ = 0.44220182701 rad
Angle ∠ B = β = 54.36657656498° = 54°21'57″ = 0.9498861611 rad
Angle ∠ C = γ = 100.3088453003° = 100°18'30″ = 1.75107127725 rad

Height: ha = 18.69333143129
Height: hb = 9.83985864805
Height: hc = 8.12875279621

Median: ma = 20.49439015319
Median: mb = 14.97549791319
Median: mc = 9.91221138008

Inradius: r = 3.59548681371
Circumradius: R = 11.68986709517

Vertex coordinates: A[23; 0] B[0; 0] C[5.82660869565; 8.12875279621]
Centroid: CG[9.60986956522; 2.70991759874]
Coordinates of the circumscribed circle: U[11.5; -2.09216569071]
Coordinates of the inscribed circle: I[7; 3.59548681371]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.6744218653° = 154°40'27″ = 0.44220182701 rad
∠ B' = β' = 125.634423435° = 125°38'3″ = 0.9498861611 rad
∠ C' = γ' = 79.69215469969° = 79°41'30″ = 1.75107127725 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    