# 23 24 24 triangle

### Acute isosceles triangle.

Sides: a = 23   b = 24   c = 24

Area: T = 242.2521805979
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 57.26219796738° = 57°15'43″ = 0.99994100815 rad
Angle ∠ B = β = 61.36990101631° = 61°22'8″ = 1.0711091286 rad
Angle ∠ C = γ = 61.36990101631° = 61°22'8″ = 1.0711091286 rad

Height: ha = 21.06553744329
Height: hb = 20.18876504982
Height: hc = 20.18876504982

Median: ma = 21.06553744329
Median: mb = 20.21113829314
Median: mc = 20.21113829314

Inradius: r = 6.82439945346
Circumradius: R = 13.67217247024

Vertex coordinates: A[24; 0] B[0; 0] C[11.02108333333; 20.18876504982]
Centroid: CG[11.67436111111; 6.72992168327]
Coordinates of the circumscribed circle: U[12; 6.55110347532]
Coordinates of the inscribed circle: I[11.5; 6.82439945346]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.7388020326° = 122°44'17″ = 0.99994100815 rad
∠ B' = β' = 118.6310989837° = 118°37'52″ = 1.0711091286 rad
∠ C' = γ' = 118.6310989837° = 118°37'52″ = 1.0711091286 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.