# 9 23 23 triangle

### Acute isosceles triangle.

Sides: a = 9   b = 23   c = 23

Area: T = 101.5499692118
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 22.56656485759° = 22°33'56″ = 0.39438448655 rad
Angle ∠ B = β = 78.7177175712° = 78°43'2″ = 1.3743873894 rad
Angle ∠ C = γ = 78.7177175712° = 78°43'2″ = 1.3743873894 rad

Height: ha = 22.55554871373
Height: hb = 8.82660601842
Height: hc = 8.82660601842

Median: ma = 22.55554871373
Median: mb = 13.14334394281
Median: mc = 13.14334394281

Inradius: r = 3.69108978952
Circumradius: R = 11.72766365559

Vertex coordinates: A[23; 0] B[0; 0] C[1.76108695652; 8.82660601842]
Centroid: CG[8.25436231884; 2.94220200614]
Coordinates of the circumscribed circle: U[11.5; 2.29443419348]
Coordinates of the inscribed circle: I[4.5; 3.69108978952]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.4344351424° = 157°26'4″ = 0.39438448655 rad
∠ B' = β' = 101.2832824288° = 101°16'58″ = 1.3743873894 rad
∠ C' = γ' = 101.2832824288° = 101°16'58″ = 1.3743873894 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.