# 5 23 23 triangle

### Acute isosceles triangle.

Sides: a = 5   b = 23   c = 23

Area: T = 57.15993168259
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 12.48802621965° = 12°28'49″ = 0.21878216668 rad
Angle ∠ B = β = 83.76598689017° = 83°45'36″ = 1.46218854934 rad
Angle ∠ C = γ = 83.76598689017° = 83°45'36″ = 1.46218854934 rad

Height: ha = 22.86437267303
Height: hb = 4.97703753762
Height: hc = 4.97703753762

Median: ma = 22.86437267303
Median: mb = 12.03112094155
Median: mc = 12.03112094155

Inradius: r = 2.24215418363
Circumradius: R = 11.56985427454

Vertex coordinates: A[23; 0] B[0; 0] C[0.54334782609; 4.97703753762]
Centroid: CG[7.8487826087; 1.65767917921]
Coordinates of the circumscribed circle: U[11.5; 1.25774502984]
Coordinates of the inscribed circle: I[2.5; 2.24215418363]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.5219737803° = 167°31'11″ = 0.21878216668 rad
∠ B' = β' = 96.24401310983° = 96°14'24″ = 1.46218854934 rad
∠ C' = γ' = 96.24401310983° = 96°14'24″ = 1.46218854934 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.