# 26 26 28 triangle

### Acute isosceles triangle.

Sides: a = 26   b = 26   c = 28

Area: T = 306.7254632203
Perimeter: p = 80
Semiperimeter: s = 40

Angle ∠ A = α = 57.42110296072° = 57°25'16″ = 1.00221860265 rad
Angle ∠ B = β = 57.42110296072° = 57°25'16″ = 1.00221860265 rad
Angle ∠ C = γ = 65.15879407856° = 65°9'29″ = 1.13772206005 rad

Height: ha = 23.59442024771
Height: hb = 23.59442024771
Height: hc = 21.90989023002

Median: ma = 23.68554385647
Median: mb = 23.68554385647
Median: mc = 21.90989023002

Inradius: r = 7.66881158051
Circumradius: R = 15.42875187031

Vertex coordinates: A[28; 0] B[0; 0] C[14; 21.90989023002]
Centroid: CG[14; 7.30329674334]
Coordinates of the circumscribed circle: U[14; 6.48113835971]
Coordinates of the inscribed circle: I[14; 7.66881158051]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.5798970393° = 122°34'44″ = 1.00221860265 rad
∠ B' = β' = 122.5798970393° = 122°34'44″ = 1.00221860265 rad
∠ C' = γ' = 114.8422059214° = 114°50'31″ = 1.13772206005 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.