# 21 22 29 triangle

### Acute scalene triangle.

Sides: a = 21   b = 22   c = 29

Area: T = 230.0433474152
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 46.14986331446° = 46°8'55″ = 0.80554455937 rad
Angle ∠ B = β = 49.06772754258° = 49°4'2″ = 0.85663855112 rad
Angle ∠ C = γ = 84.78440914295° = 84°47'3″ = 1.48797615488 rad

Height: ha = 21.90989023002
Height: hb = 20.91330431047
Height: hc = 15.86550671829

Median: ma = 23.5
Median: mb = 22.8043508502
Median: mc = 15.88223801743

Inradius: r = 6.39900965042
Circumradius: R = 14.56602913203

Vertex coordinates: A[29; 0] B[0; 0] C[13.75986206897; 15.86550671829]
Centroid: CG[14.25328735632; 5.28883557276]
Coordinates of the circumscribed circle: U[14.5; 1.32436628473]
Coordinates of the inscribed circle: I[14; 6.39900965042]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.8511366855° = 133°51'5″ = 0.80554455937 rad
∠ B' = β' = 130.9332724574° = 130°55'58″ = 0.85663855112 rad
∠ C' = γ' = 95.21659085705° = 95°12'57″ = 1.48797615488 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.