# 11 19 23 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 19   c = 23

Area: T = 103.8377312658
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 28.37441945297° = 28°22'27″ = 0.49552231171 rad
Angle ∠ B = β = 55.17698043554° = 55°10'11″ = 0.96328947337 rad
Angle ∠ C = γ = 96.45660011149° = 96°27'22″ = 1.68334748028 rad

Height: ha = 18.88795113923
Height: hb = 10.93302434377
Height: hc = 9.02993315355

Median: ma = 20.36554118544
Median: mb = 15.3221553446
Median: mc = 10.42883268073

Inradius: r = 3.91883891569
Circumradius: R = 11.57333927356

Vertex coordinates: A[23; 0] B[0; 0] C[6.28326086957; 9.02993315355]
Centroid: CG[9.76108695652; 3.01097771785]
Coordinates of the circumscribed circle: U[11.5; -1.30113144942]
Coordinates of the inscribed circle: I[7.5; 3.91883891569]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.626580547° = 151°37'33″ = 0.49552231171 rad
∠ B' = β' = 124.8330195645° = 124°49'49″ = 0.96328947337 rad
∠ C' = γ' = 83.54439988851° = 83°32'38″ = 1.68334748028 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.