# 14 17 29 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 17   c = 29

Area: T = 78.99436706325
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 18.69108148701° = 18°41'27″ = 0.32662162594 rad
Angle ∠ B = β = 22.99004622732° = 22°54'2″ = 0.43996884669 rad
Angle ∠ C = γ = 138.4098722857° = 138°24'31″ = 2.41656879273 rad

Height: ha = 11.28548100904
Height: hb = 9.29333730156
Height: hc = 5.4487839354

Median: ma = 22.71656333832
Median: mb = 21.12546301743
Median: mc = 5.67989083458

Inradius: r = 2.63331223544
Circumradius: R = 21.84435222238

Vertex coordinates: A[29; 0] B[0; 0] C[12.89765517241; 5.4487839354]
Centroid: CG[13.96655172414; 1.81659464513]
Coordinates of the circumscribed circle: U[14.5; -16.33767519153]
Coordinates of the inscribed circle: I[13; 2.63331223544]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.309918513° = 161°18'33″ = 0.32662162594 rad
∠ B' = β' = 157.1099537727° = 157°5'58″ = 0.43996884669 rad
∠ C' = γ' = 41.59112771434° = 41°35'29″ = 2.41656879273 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    