# 11 23 23 triangle

### Acute isosceles triangle.

Sides: a = 11   b = 23   c = 23

Area: T = 122.8329912888
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 27.67704472281° = 27°40'14″ = 0.48329404096 rad
Angle ∠ B = β = 76.1654776386° = 76°9'53″ = 1.3299326122 rad
Angle ∠ C = γ = 76.1654776386° = 76°9'53″ = 1.3299326122 rad

Height: ha = 22.33327114341
Height: hb = 10.68108619902
Height: hc = 10.68108619902

Median: ma = 22.33327114341
Median: mb = 13.88334433769
Median: mc = 13.88334433769

Inradius: r = 4.31098215048
Circumradius: R = 11.84436133821

Vertex coordinates: A[23; 0] B[0; 0] C[2.63304347826; 10.68108619902]
Centroid: CG[8.54334782609; 3.56602873301]
Coordinates of the circumscribed circle: U[11.5; 2.83221684175]
Coordinates of the inscribed circle: I[5.5; 4.31098215048]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.3329552772° = 152°19'46″ = 0.48329404096 rad
∠ B' = β' = 103.8355223614° = 103°50'7″ = 1.3299326122 rad
∠ C' = γ' = 103.8355223614° = 103°50'7″ = 1.3299326122 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.