# 1 23 23 triangle

### Acute isosceles triangle.

Sides: a = 1   b = 23   c = 23

Area: T = 11.49772822876
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 2.49113171032° = 2°29'29″ = 0.04334816862 rad
Angle ∠ B = β = 88.75443414484° = 88°45'16″ = 1.54990554837 rad
Angle ∠ C = γ = 88.75443414484° = 88°45'16″ = 1.54990554837 rad

Height: ha = 22.99545645751
Height: hb = 10.9997636772
Height: hc = 10.9997636772

Median: ma = 22.99545645751
Median: mb = 11.52217186218
Median: mc = 11.52217186218

Inradius: r = 0.48992460548
Circumradius: R = 11.50327183548

Vertex coordinates: A[23; 0] B[0; 0] C[0.02217391304; 10.9997636772]
Centroid: CG[7.67439130435; 0.33332545591]
Coordinates of the circumscribed circle: U[11.5; 0.25500590947]
Coordinates of the inscribed circle: I[0.5; 0.48992460548]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 177.5098682897° = 177°30'31″ = 0.04334816862 rad
∠ B' = β' = 91.24656585516° = 91°14'44″ = 1.54990554837 rad
∠ C' = γ' = 91.24656585516° = 91°14'44″ = 1.54990554837 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    