# 17 23 23 triangle

### Acute isosceles triangle.

Sides: a = 17   b = 23   c = 23

Area: T = 181.6659537322
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 43.37876112363° = 43°22'39″ = 0.75770821377 rad
Angle ∠ B = β = 68.31111943819° = 68°18'40″ = 1.19222552579 rad
Angle ∠ C = γ = 68.31111943819° = 68°18'40″ = 1.19222552579 rad

Height: ha = 21.37217102732
Height: hb = 15.79664815063
Height: hc = 15.79664815063

Median: ma = 21.37217102732
Median: mb = 16.63658047596
Median: mc = 16.63658047596

Inradius: r = 5.76769694388
Circumradius: R = 12.37661737652

Vertex coordinates: A[23; 0] B[0; 0] C[6.28326086957; 15.79664815063]
Centroid: CG[9.76108695652; 5.26554938354]
Coordinates of the circumscribed circle: U[11.5; 4.5743803348]
Coordinates of the inscribed circle: I[8.5; 5.76769694388]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.6222388764° = 136°37'21″ = 0.75770821377 rad
∠ B' = β' = 111.6898805618° = 111°41'20″ = 1.19222552579 rad
∠ C' = γ' = 111.6898805618° = 111°41'20″ = 1.19222552579 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.