# 23 26 29 triangle

### Acute scalene triangle.

Sides: a = 23   b = 26   c = 29

Area: T = 284.8165729903
Perimeter: p = 78
Semiperimeter: s = 39

Angle ∠ A = α = 49.06772754258° = 49°4'2″ = 0.85663855112 rad
Angle ∠ B = β = 58.65216564476° = 58°39'6″ = 1.02436645168 rad
Angle ∠ C = γ = 72.28110681266° = 72°16'52″ = 1.26215426257 rad

Height: ha = 24.76765852089
Height: hb = 21.90989023002
Height: hc = 19.64224641312

Median: ma = 25.02549875125
Median: mb = 22.71656333832
Median: mc = 19.80553023203

Inradius: r = 7.30329674334
Circumradius: R = 15.2222122744

Vertex coordinates: A[29; 0] B[0; 0] C[11.96655172414; 19.64224641312]
Centroid: CG[13.65551724138; 6.54774880437]
Coordinates of the circumscribed circle: U[14.5; 4.63328199656]
Coordinates of the inscribed circle: I[13; 7.30329674334]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.9332724574° = 130°55'58″ = 0.85663855112 rad
∠ B' = β' = 121.3488343552° = 121°20'54″ = 1.02436645168 rad
∠ C' = γ' = 107.7198931873° = 107°43'8″ = 1.26215426257 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.