# 24 24 24 triangle

### Equilateral triangle.

Sides: a = 24   b = 24   c = 24

Area: T = 249.415531629
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 60° = 1.04771975512 rad
Angle ∠ B = β = 60° = 1.04771975512 rad
Angle ∠ C = γ = 60° = 1.04771975512 rad

Height: ha = 20.78546096908
Height: hb = 20.78546096908
Height: hc = 20.78546096908

Median: ma = 20.78546096908
Median: mb = 20.78546096908
Median: mc = 20.78546096908

Inradius: r = 6.92882032303
Circumradius: R = 13.85664064606

Vertex coordinates: A[24; 0] B[0; 0] C[12; 20.78546096908]
Centroid: CG[12; 6.92882032303]
Coordinates of the circumscribed circle: U[12; 6.92882032303]
Coordinates of the inscribed circle: I[12; 6.92882032303]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120° = 1.04771975512 rad
∠ B' = β' = 120° = 1.04771975512 rad
∠ C' = γ' = 120° = 1.04771975512 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.