# 23 27 29 triangle

### Acute scalene triangle.

Sides: a = 23   b = 27   c = 29

Area: T = 292.4765960551
Perimeter: p = 79
Semiperimeter: s = 39.5

Angle ∠ A = α = 48.33767776036° = 48°20'12″ = 0.8443635919 rad
Angle ∠ B = β = 61.28113004371° = 61°16'53″ = 1.07695604625 rad
Angle ∠ C = γ = 70.38219219593° = 70°22'55″ = 1.22883962721 rad

Height: ha = 25.43326922218
Height: hb = 21.66548859667
Height: hc = 20.17107559

Median: ma = 25.54989725821
Median: mb = 22.42220873248
Median: mc = 20.46333819297

Inradius: r = 7.40444546975
Circumradius: R = 15.39435728308

Vertex coordinates: A[29; 0] B[0; 0] C[11.05217241379; 20.17107559]
Centroid: CG[13.35105747126; 6.72435853]
Coordinates of the circumscribed circle: U[14.5; 5.16883734867]
Coordinates of the inscribed circle: I[12.5; 7.40444546975]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.6633222396° = 131°39'48″ = 0.8443635919 rad
∠ B' = β' = 118.7198699563° = 118°43'7″ = 1.07695604625 rad
∠ C' = γ' = 109.6188078041° = 109°37'5″ = 1.22883962721 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.