# 24 28 28 triangle

### Acute isosceles triangle.

Sides: a = 24   b = 28   c = 28

Area: T = 303.5798655376
Perimeter: p = 80
Semiperimeter: s = 40

Angle ∠ A = α = 50.75438670503° = 50°45'14″ = 0.88658220881 rad
Angle ∠ B = β = 64.62330664748° = 64°37'23″ = 1.12878852827 rad
Angle ∠ C = γ = 64.62330664748° = 64°37'23″ = 1.12878852827 rad

Height: ha = 25.29882212813
Height: hb = 21.68441896697
Height: hc = 21.68441896697

Median: ma = 25.29882212813
Median: mb = 22
Median: mc = 22

Inradius: r = 7.58994663844
Circumradius: R = 15.49551605348

Vertex coordinates: A[28; 0] B[0; 0] C[10.28657142857; 21.68441896697]
Centroid: CG[12.76219047619; 7.22880632232]
Coordinates of the circumscribed circle: U[14; 6.64107830864]
Coordinates of the inscribed circle: I[12; 7.58994663844]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.246613295° = 129°14'46″ = 0.88658220881 rad
∠ B' = β' = 115.3776933525° = 115°22'37″ = 1.12878852827 rad
∠ C' = γ' = 115.3776933525° = 115°22'37″ = 1.12878852827 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.