# 24 24 28 triangle

### Acute isosceles triangle.

Sides: a = 24   b = 24   c = 28

Area: T = 272.9110241655
Perimeter: p = 76
Semiperimeter: s = 38

Angle ∠ A = α = 54.31546652873° = 54°18'53″ = 0.94879697414 rad
Angle ∠ B = β = 54.31546652873° = 54°18'53″ = 0.94879697414 rad
Angle ∠ C = γ = 71.37106694253° = 71°22'14″ = 1.24656531708 rad

Height: ha = 22.74325201379
Height: hb = 22.74325201379
Height: hc = 19.49435886896

Median: ma = 23.15216738056
Median: mb = 23.15216738056
Median: mc = 19.49435886896

Inradius: r = 7.18218484646
Circumradius: R = 14.774408827

Vertex coordinates: A[28; 0] B[0; 0] C[14; 19.49435886896]
Centroid: CG[14; 6.49878628965]
Coordinates of the circumscribed circle: U[14; 4.72195004196]
Coordinates of the inscribed circle: I[14; 7.18218484646]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.6855334713° = 125°41'7″ = 0.94879697414 rad
∠ B' = β' = 125.6855334713° = 125°41'7″ = 0.94879697414 rad
∠ C' = γ' = 108.6299330575° = 108°37'46″ = 1.24656531708 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.