# 13 26 29 triangle

### Acute scalene triangle.

Sides: a = 13   b = 26   c = 29

Area: T = 168.9977041394
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 26.63326157343° = 26°37'57″ = 0.4654826833 rad
Angle ∠ B = β = 63.70664145252° = 63°42'23″ = 1.11218866881 rad
Angle ∠ C = γ = 89.66109697404° = 89°39'39″ = 1.56548791325 rad

Height: ha = 265.9995448299
Height: hb = 132.9997724149
Height: hc = 11.6554968372

Median: ma = 26.76328473821
Median: mb = 18.33303027798
Median: mc = 14.56988022843

Inradius: r = 4.97105012175
Circumradius: R = 14.55002538493

Vertex coordinates: A[29; 0] B[0; 0] C[5.75986206897; 11.6554968372]
Centroid: CG[11.58662068966; 3.88549894573]
Coordinates of the circumscribed circle: U[14.5; 0.08658003186]
Coordinates of the inscribed circle: I[8; 4.97105012175]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.3677384266° = 153°22'3″ = 0.4654826833 rad
∠ B' = β' = 116.2943585475° = 116°17'37″ = 1.11218866881 rad
∠ C' = γ' = 90.33990302596° = 90°20'21″ = 1.56548791325 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.