# 7 19 23 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 19   c = 23

Area: T = 59.47442591379
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 15.79548290504° = 15°47'41″ = 0.27656717717 rad
Angle ∠ B = β = 47.63302014306° = 47°37'49″ = 0.83113038384 rad
Angle ∠ C = γ = 116.5754969519° = 116°34'30″ = 2.03546170435 rad

Height: ha = 16.9932645468
Height: hb = 6.26604483303
Height: hc = 5.17216747076

Median: ma = 20.80326440627
Median: mb = 14.09878721799
Median: mc = 8.52993610546

Inradius: r = 2.42875207811
Circumradius: R = 12.85985040165

Vertex coordinates: A[23; 0] B[0; 0] C[4.71773913043; 5.17216747076]
Centroid: CG[9.23991304348; 1.72438915692]
Coordinates of the circumscribed circle: U[11.5; -5.75224886389]
Coordinates of the inscribed circle: I[5.5; 2.42875207811]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.205517095° = 164°12'19″ = 0.27656717717 rad
∠ B' = β' = 132.3769798569° = 132°22'11″ = 0.83113038384 rad
∠ C' = γ' = 63.4255030481° = 63°25'30″ = 2.03546170435 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.
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