# 11 26 27 triangle

### Acute scalene triangle.

Sides: a = 11   b = 26   c = 27

Area: T = 141.9865914794
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 23.86109433465° = 23°51'39″ = 0.4166452024 rad
Angle ∠ B = β = 72.96765898339° = 72°58' = 1.27435072366 rad
Angle ∠ C = γ = 83.17224668196° = 83°10'21″ = 1.4521633393 rad

Height: ha = 25.81656208717
Height: hb = 10.92219934457
Height: hc = 10.517747517

Median: ma = 25.92877843249
Median: mb = 16
Median: mc = 14.70554411699

Inradius: r = 4.43770598373
Circumradius: R = 13.59664190729

Vertex coordinates: A[27; 0] B[0; 0] C[3.22222222222; 10.517747517]
Centroid: CG[10.07440740741; 3.50658250567]
Coordinates of the circumscribed circle: U[13.5; 1.61663575122]
Coordinates of the inscribed circle: I[6; 4.43770598373]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.1399056653° = 156°8'21″ = 0.4166452024 rad
∠ B' = β' = 107.0333410166° = 107°2' = 1.27435072366 rad
∠ C' = γ' = 96.82875331804° = 96°49'39″ = 1.4521633393 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.