# 13 26 27 triangle

### Acute scalene triangle.

Sides: a = 13   b = 26   c = 27

Area: T = 166.4933243106
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 28.31663682245° = 28°18'59″ = 0.49442138577 rad
Angle ∠ B = β = 71.56443535993° = 71°33'52″ = 1.24990335974 rad
Angle ∠ C = γ = 80.11992781761° = 80°7'9″ = 1.39883451985 rad

Height: ha = 25.61443450933
Height: hb = 12.80771725466
Height: hc = 12.33328328227

Median: ma = 25.69553303151
Median: mb = 16.73332005307
Median: mc = 15.5

Inradius: r = 5.04552497911
Circumradius: R = 13.70332588076

Vertex coordinates: A[27; 0] B[0; 0] C[4.11111111111; 12.33328328227]
Centroid: CG[10.37703703704; 4.11109442742]
Coordinates of the circumscribed circle: U[13.5; 2.35114467776]
Coordinates of the inscribed circle: I[7; 5.04552497911]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.6843631775° = 151°41'1″ = 0.49442138577 rad
∠ B' = β' = 108.4365646401° = 108°26'8″ = 1.24990335974 rad
∠ C' = γ' = 99.88107218239° = 99°52'51″ = 1.39883451985 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.