# 17 17 23 triangle

### Acute isosceles triangle.

Sides: a = 17   b = 17   c = 23

Area: T = 143.9879816294
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 47.43215457967° = 47°25'54″ = 0.82878366435 rad
Angle ∠ B = β = 47.43215457967° = 47°25'54″ = 0.82878366435 rad
Angle ∠ C = γ = 85.13769084066° = 85°8'13″ = 1.48659193667 rad

Height: ha = 16.93988019169
Height: hb = 16.93988019169
Height: hc = 12.52199840255

Median: ma = 18.35107493035
Median: mb = 18.35107493035
Median: mc = 12.52199840255

Inradius: r = 5.05219233787
Circumradius: R = 11.54215482724

Vertex coordinates: A[23; 0] B[0; 0] C[11.5; 12.52199840255]
Centroid: CG[11.5; 4.17333280085]
Coordinates of the circumscribed circle: U[11.5; 0.97884357532]
Coordinates of the inscribed circle: I[11.5; 5.05219233787]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.5688454203° = 132°34'6″ = 0.82878366435 rad
∠ B' = β' = 132.5688454203° = 132°34'6″ = 0.82878366435 rad
∠ C' = γ' = 94.86330915934° = 94°51'47″ = 1.48659193667 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.