# 21 23 29 triangle

### Acute scalene triangle.

Sides: a = 21   b = 23   c = 29

Area: T = 239.3376974787
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 45.86109720011° = 45°51'39″ = 0.88004249596 rad
Angle ∠ B = β = 51.81332531795° = 51°48'48″ = 0.90443118642 rad
Angle ∠ C = γ = 82.32657748194° = 82°19'33″ = 1.43768558299 rad

Height: ha = 22.79439975987
Height: hb = 20.8121910851
Height: hc = 16.50659982611

Median: ma = 23.97439441895
Median: mb = 22.55554871373
Median: mc = 16.57655844543

Inradius: r = 6.55771773914
Circumradius: R = 14.63110447983

Vertex coordinates: A[29; 0] B[0; 0] C[12.98327586207; 16.50659982611]
Centroid: CG[13.99442528736; 5.50219994204]
Coordinates of the circumscribed circle: U[14.5; 1.95438351749]
Coordinates of the inscribed circle: I[13.5; 6.55771773914]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.1399027999° = 134°8'21″ = 0.88004249596 rad
∠ B' = β' = 128.1876746821° = 128°11'12″ = 0.90443118642 rad
∠ C' = γ' = 97.67442251806° = 97°40'27″ = 1.43768558299 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.