# 12 23 29 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 23   c = 29

Area: T = 131.4533413801
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 23.21437927007° = 23°12'50″ = 0.40551571145 rad
Angle ∠ B = β = 49.06772754258° = 49°4'2″ = 0.85663855112 rad
Angle ∠ C = γ = 107.7198931873° = 107°43'8″ = 1.88800500279 rad

Height: ha = 21.90989023002
Height: hb = 11.43107316349
Height: hc = 9.06657526759

Median: ma = 25.47554784057
Median: mb = 18.98802528961
Median: mc = 11.23661025271

Inradius: r = 4.10879191813
Circumradius: R = 15.2222122744

Vertex coordinates: A[29; 0] B[0; 0] C[7.86220689655; 9.06657526759]
Centroid: CG[12.28773563218; 3.02219175586]
Coordinates of the circumscribed circle: U[14.5; -4.63328199656]
Coordinates of the inscribed circle: I[9; 4.10879191813]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.7866207299° = 156°47'10″ = 0.40551571145 rad
∠ B' = β' = 130.9332724574° = 130°55'58″ = 0.85663855112 rad
∠ C' = γ' = 72.28110681266° = 72°16'52″ = 1.88800500279 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.