# 4 24 24 triangle

### Acute isosceles triangle.

Sides: a = 4   b = 24   c = 24

Area: T = 47.83330429724
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 9.56603836944° = 9°33'37″ = 0.16768601732 rad
Angle ∠ B = β = 85.22198081528° = 85°13'11″ = 1.48773662402 rad
Angle ∠ C = γ = 85.22198081528° = 85°13'11″ = 1.48773662402 rad

Height: ha = 23.91765214862
Height: hb = 3.98660869144
Height: hc = 3.98660869144

Median: ma = 23.91765214862
Median: mb = 12.32988280059
Median: mc = 12.32988280059

Inradius: r = 1.8439732422
Circumradius: R = 12.04218849441

Vertex coordinates: A[24; 0] B[0; 0] C[0.33333333333; 3.98660869144]
Centroid: CG[8.11111111111; 1.32986956381]
Coordinates of the circumscribed circle: U[12; 1.0033490412]
Coordinates of the inscribed circle: I[2; 1.8439732422]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.4439616306° = 170°26'23″ = 0.16768601732 rad
∠ B' = β' = 94.78801918472° = 94°46'49″ = 1.48773662402 rad
∠ C' = γ' = 94.78801918472° = 94°46'49″ = 1.48773662402 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.