# 5 11 14 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 11   c = 14

Area: T = 24.49548974278
Perimeter: p = 30
Semiperimeter: s = 15

Angle ∠ A = α = 18.54989996134° = 18°32'56″ = 0.32437411162 rad
Angle ∠ B = β = 44.41553085972° = 44°24'55″ = 0.77551933733 rad
Angle ∠ C = γ = 117.0365691789° = 117°2'8″ = 2.04326581641 rad

Height: ha = 9.79879589711
Height: hb = 4.45436177142
Height: hc = 3.49992710611

Median: ma = 12.33989626793
Median: mb = 8.95882364336
Median: mc = 4.89989794856

Inradius: r = 1.63329931619
Circumradius: R = 7.85987795914

Vertex coordinates: A[14; 0] B[0; 0] C[3.57114285714; 3.49992710611]
Centroid: CG[5.85771428571; 1.1666423687]
Coordinates of the circumscribed circle: U[7; -3.57221725416]
Coordinates of the inscribed circle: I[4; 1.63329931619]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.4511000387° = 161°27'4″ = 0.32437411162 rad
∠ B' = β' = 135.5854691403° = 135°35'5″ = 0.77551933733 rad
∠ C' = γ' = 62.96443082106° = 62°57'52″ = 2.04326581641 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    