# 8 23 23 triangle

### Acute isosceles triangle.

Sides: a = 8   b = 23   c = 23

Area: T = 90.59880132232
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 20.03108203365° = 20°1'51″ = 0.35496037667 rad
Angle ∠ B = β = 79.98545898317° = 79°59'5″ = 1.39659944434 rad
Angle ∠ C = γ = 79.98545898317° = 79°59'5″ = 1.39659944434 rad

Height: ha = 22.65495033058
Height: hb = 7.87880881064
Height: hc = 7.87880881064

Median: ma = 22.65495033058
Median: mb = 12.8166005618
Median: mc = 12.8166005618

Inradius: r = 3.35554819712
Circumradius: R = 11.67879602815

Vertex coordinates: A[23; 0] B[0; 0] C[1.39113043478; 7.87880881064]
Centroid: CG[8.13304347826; 2.62660293688]
Coordinates of the circumscribed circle: U[11.5; 2.03109496142]
Coordinates of the inscribed circle: I[4; 3.35554819712]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.9699179663° = 159°58'9″ = 0.35496037667 rad
∠ B' = β' = 100.0155410168° = 100°55″ = 1.39659944434 rad
∠ C' = γ' = 100.0155410168° = 100°55″ = 1.39659944434 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.