# 24 26 26 triangle

### Acute isosceles triangle.

Sides: a = 24   b = 26   c = 26

Area: T = 276.7821502272
Perimeter: p = 76
Semiperimeter: s = 38

Angle ∠ A = α = 54.97328525008° = 54°58'22″ = 0.95994572754 rad
Angle ∠ B = β = 62.51435737496° = 62°30'49″ = 1.09110676891 rad
Angle ∠ C = γ = 62.51435737496° = 62°30'49″ = 1.09110676891 rad

Height: ha = 23.06551251893
Height: hb = 21.29108847902
Height: hc = 21.29108847902

Median: ma = 23.06551251893
Median: mb = 21.37875583264
Median: mc = 21.37875583264

Inradius: r = 7.2843723744
Circumradius: R = 14.6544158485

Vertex coordinates: A[26; 0] B[0; 0] C[11.07769230769; 21.29108847902]
Centroid: CG[12.3598974359; 7.09769615967]
Coordinates of the circumscribed circle: U[13; 6.76334577623]
Coordinates of the inscribed circle: I[12; 7.2843723744]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.0277147499° = 125°1'38″ = 0.95994572754 rad
∠ B' = β' = 117.486642625° = 117°29'11″ = 1.09110676891 rad
∠ C' = γ' = 117.486642625° = 117°29'11″ = 1.09110676891 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.