# 14 21 29 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 21   c = 29

Area: T = 137.8769503517
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 26.92217628128° = 26°55'18″ = 0.47698734015 rad
Angle ∠ B = β = 42.77880463452° = 42°46'41″ = 0.74766177563 rad
Angle ∠ C = γ = 110.3300190842° = 110°18'1″ = 1.92551014958 rad

Height: ha = 19.69656433596
Height: hb = 13.13304289064
Height: hc = 9.50882416219

Median: ma = 24.33110501212
Median: mb = 20.20551973512
Median: mc = 10.40443260233

Inradius: r = 4.30884219849
Circumradius: R = 15.46602718196

Vertex coordinates: A[29; 0] B[0; 0] C[10.2765862069; 9.50882416219]
Centroid: CG[13.0921954023; 3.1699413874]
Coordinates of the circumscribed circle: U[14.5; -5.36437677741]
Coordinates of the inscribed circle: I[11; 4.30884219849]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.0788237187° = 153°4'42″ = 0.47698734015 rad
∠ B' = β' = 137.2221953655° = 137°13'19″ = 0.74766177563 rad
∠ C' = γ' = 69.76998091581° = 69°41'59″ = 1.92551014958 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.