# 22 23 23 triangle

### Acute isosceles triangle.

Sides: a = 22   b = 23   c = 23

Area: T = 222.1899108644
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 57.14437562846° = 57°8'38″ = 0.99773466941 rad
Angle ∠ B = β = 61.42881218577° = 61°25'41″ = 1.07221229797 rad
Angle ∠ C = γ = 61.42881218577° = 61°25'41″ = 1.07221229797 rad

Height: ha = 20.19990098767
Height: hb = 19.3210792056
Height: hc = 19.3210792056

Median: ma = 20.19990098767
Median: mb = 19.34655421222
Median: mc = 19.34655421222

Inradius: r = 6.53549737836
Circumradius: R = 13.09547012559

Vertex coordinates: A[23; 0] B[0; 0] C[10.52217391304; 19.3210792056]
Centroid: CG[11.17439130435; 6.44402640187]
Coordinates of the circumscribed circle: U[11.5; 6.26326832093]
Coordinates of the inscribed circle: I[11; 6.53549737836]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.8566243715° = 122°51'22″ = 0.99773466941 rad
∠ B' = β' = 118.5721878142° = 118°34'19″ = 1.07221229797 rad
∠ C' = γ' = 118.5721878142° = 118°34'19″ = 1.07221229797 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.