# 20 27 29 triangle

### Acute scalene triangle.

Sides: a = 20   b = 27   c = 29

Area: T = 260.2232981306
Perimeter: p = 76
Semiperimeter: s = 38

Angle ∠ A = α = 41.65879296759° = 41°39'29″ = 0.72770680324 rad
Angle ∠ B = β = 63.80880802775° = 63°48'29″ = 1.11436610902 rad
Angle ∠ C = γ = 74.53439900466° = 74°32'2″ = 1.3010863531 rad

Height: ha = 26.02222981306
Height: hb = 19.27657763931
Height: hc = 17.94664125039

Median: ma = 26.17325046566
Median: mb = 20.93444214155
Median: mc = 18.82215302247

Inradius: r = 6.84879731923
Circumradius: R = 15.04547895891

Vertex coordinates: A[29; 0] B[0; 0] C[8.82875862069; 17.94664125039]
Centroid: CG[12.60991954023; 5.98221375013]
Coordinates of the circumscribed circle: U[14.5; 4.01219438904]
Coordinates of the inscribed circle: I[11; 6.84879731923]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.3422070324° = 138°20'31″ = 0.72770680324 rad
∠ B' = β' = 116.1921919723° = 116°11'31″ = 1.11436610902 rad
∠ C' = γ' = 105.4666009953° = 105°27'58″ = 1.3010863531 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.