# 11 14 23 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 14   c = 23

Area: T = 55.85769601751
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 20.33001215246° = 20°18' = 0.35443039592 rad
Angle ∠ B = β = 26.20332659635° = 26°12'12″ = 0.45773332658 rad
Angle ∠ C = γ = 133.4976612512° = 133°29'48″ = 2.33299554286 rad

Height: ha = 10.15658109409
Height: hb = 7.98795657393
Height: hc = 4.85771269717

Median: ma = 18.22877261336
Median: mb = 16.61332477258
Median: mc = 5.1233475383

Inradius: r = 2.32773733406
Circumradius: R = 15.8532993024

Vertex coordinates: A[23; 0] B[0; 0] C[9.87695652174; 4.85771269717]
Centroid: CG[10.95765217391; 1.61990423239]
Coordinates of the circumscribed circle: U[11.5; -10.91218003932]
Coordinates of the inscribed circle: I[10; 2.32773733406]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.7699878475° = 159°42' = 0.35443039592 rad
∠ B' = β' = 153.7976734036° = 153°47'48″ = 0.45773332658 rad
∠ C' = γ' = 46.50333874881° = 46°30'12″ = 2.33299554286 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    