# 22 23 29 triangle

### Acute scalene triangle.

Sides: a = 22   b = 23   c = 29

Area: T = 249.3199072676
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 48.38114781929° = 48°22'53″ = 0.84444160914 rad
Angle ∠ B = β = 51.40440427654° = 51°24'15″ = 0.89771697951 rad
Angle ∠ C = γ = 80.21444790417° = 80°12'52″ = 1.44000067671 rad

Height: ha = 22.66553702433
Height: hb = 21.68799193631
Height: hc = 17.19444188052

Median: ma = 23.74986841741
Median: mb = 23.02771578793
Median: mc = 17.21219144781

Inradius: r = 6.73883533156
Circumradius: R = 14.71440768679

Vertex coordinates: A[29; 0] B[0; 0] C[13.7244137931; 17.19444188052]
Centroid: CG[14.24113793103; 5.73114729351]
Coordinates of the circumscribed circle: U[14.5; 2.50108114835]
Coordinates of the inscribed circle: I[14; 6.73883533156]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.6198521807° = 131°37'7″ = 0.84444160914 rad
∠ B' = β' = 128.5965957235° = 128°35'45″ = 0.89771697951 rad
∠ C' = γ' = 99.78655209583° = 99°47'8″ = 1.44000067671 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.