# 13 23 23 triangle

### Acute isosceles triangle.

Sides: a = 13   b = 23   c = 23

Area: T = 143.4065674574
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 32.83219234041° = 32°49'55″ = 0.57330251632 rad
Angle ∠ B = β = 73.5844038298° = 73°35'3″ = 1.28442837452 rad
Angle ∠ C = γ = 73.5844038298° = 73°35'3″ = 1.28442837452 rad

Height: ha = 22.06224114729
Height: hb = 12.47700586586
Height: hc = 12.47700586586

Median: ma = 22.06224114729
Median: mb = 14.72224318643
Median: mc = 14.72224318643

Inradius: r = 4.86112093076
Circumradius: R = 11.98987166607

Vertex coordinates: A[23; 0] B[0; 0] C[3.67439130435; 12.47700586586]
Centroid: CG[8.89113043478; 4.15766862195]
Coordinates of the circumscribed circle: U[11.5; 3.3888115578]
Coordinates of the inscribed circle: I[6.5; 4.86112093076]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.1688076596° = 147°10'5″ = 0.57330251632 rad
∠ B' = β' = 106.4165961702° = 106°24'57″ = 1.28442837452 rad
∠ C' = γ' = 106.4165961702° = 106°24'57″ = 1.28442837452 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.