# 26 26 27 triangle

### Acute isosceles triangle.

Sides: a = 26   b = 26   c = 27

Area: T = 299.9776561584
Perimeter: p = 79
Semiperimeter: s = 39.5

Angle ∠ A = α = 58.7199332848° = 58°43'10″ = 1.02548456928 rad
Angle ∠ B = β = 58.7199332848° = 58°43'10″ = 1.02548456928 rad
Angle ∠ C = γ = 62.56113343041° = 62°33'41″ = 1.0921901268 rad

Height: ha = 23.07551201219
Height: hb = 23.07551201219
Height: hc = 22.22204860433

Median: ma = 23.09876189249
Median: mb = 23.09876189249
Median: mc = 22.22204860433

Inradius: r = 7.59443433313
Circumradius: R = 15.21111884205

Vertex coordinates: A[27; 0] B[0; 0] C[13.5; 22.22204860433]
Centroid: CG[13.5; 7.40768286811]
Coordinates of the circumscribed circle: U[13.5; 7.00992976228]
Coordinates of the inscribed circle: I[13.5; 7.59443433313]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.2810667152° = 121°16'50″ = 1.02548456928 rad
∠ B' = β' = 121.2810667152° = 121°16'50″ = 1.02548456928 rad
∠ C' = γ' = 117.4398665696° = 117°26'19″ = 1.0921901268 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.