# 12 27 29 triangle

### Acute scalene triangle.

Sides: a = 12   b = 27   c = 29

Area: T = 161.8022348561
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 24.41215653884° = 24°24'42″ = 0.42660621916 rad
Angle ∠ B = β = 68.41990070818° = 68°25'8″ = 1.19441369445 rad
Angle ∠ C = γ = 87.16994275297° = 87°10'10″ = 1.52113935175 rad

Height: ha = 26.96770580936
Height: hb = 11.98553591527
Height: hc = 11.15987826594

Median: ma = 27.36878643668
Median: mb = 17.61439149538
Median: mc = 15.04216089565

Inradius: r = 4.75988926047
Circumradius: R = 14.51877126345

Vertex coordinates: A[29; 0] B[0; 0] C[4.41437931034; 11.15987826594]
Centroid: CG[11.13879310345; 3.72195942198]
Coordinates of the circumscribed circle: U[14.5; 0.71769240807]
Coordinates of the inscribed circle: I[7; 4.75988926047]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.5888434612° = 155°35'18″ = 0.42660621916 rad
∠ B' = β' = 111.5810992918° = 111°34'52″ = 1.19441369445 rad
∠ C' = γ' = 92.83105724703° = 92°49'50″ = 1.52113935175 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.