# 23 23 29 triangle

### Acute isosceles triangle.

Sides: a = 23   b = 23   c = 29

Area: T = 258.8776780535
Perimeter: p = 75
Semiperimeter: s = 37.5

Angle ∠ A = α = 50.91877927026° = 50°55'4″ = 0.88986831305 rad
Angle ∠ B = β = 50.91877927026° = 50°55'4″ = 0.88986831305 rad
Angle ∠ C = γ = 78.16444145947° = 78°9'52″ = 1.36442263926 rad

Height: ha = 22.51110243943
Height: hb = 22.51110243943
Height: hc = 17.85435710714

Median: ma = 23.5110635891
Median: mb = 23.5110635891
Median: mc = 17.85435710714

Inradius: r = 6.90333808143
Circumradius: R = 14.8154963289

Vertex coordinates: A[29; 0] B[0; 0] C[14.5; 17.85435710714]
Centroid: CG[14.5; 5.95111903571]
Coordinates of the circumscribed circle: U[14.5; 3.03986077823]
Coordinates of the inscribed circle: I[14.5; 6.90333808143]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.0822207297° = 129°4'56″ = 0.88986831305 rad
∠ B' = β' = 129.0822207297° = 129°4'56″ = 0.88986831305 rad
∠ C' = γ' = 101.8365585405° = 101°50'8″ = 1.36442263926 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.