# 20 25 27 triangle

### Acute scalene triangle.

Sides: a = 20   b = 25   c = 27

Area: T = 238.7976984906
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 45.03656507165° = 45°2'8″ = 0.78660203858 rad
Angle ∠ B = β = 62.18218607153° = 62°10'55″ = 1.08552782045 rad
Angle ∠ C = γ = 72.78224885682° = 72°46'57″ = 1.27702940633 rad

Height: ha = 23.88796984906
Height: hb = 19.10437587924
Height: hc = 17.68986655486

Median: ma = 24.02108242989
Median: mb = 20.20551973512
Median: mc = 18.17327818454

Inradius: r = 6.63332495807
Circumradius: R = 14.13333442771

Vertex coordinates: A[27; 0] B[0; 0] C[9.33333333333; 17.68986655486]
Centroid: CG[12.11111111111; 5.89662218495]
Coordinates of the circumscribed circle: U[13.5; 4.1833469906]
Coordinates of the inscribed circle: I[11; 6.63332495807]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.9644349284° = 134°57'52″ = 0.78660203858 rad
∠ B' = β' = 117.8188139285° = 117°49'5″ = 1.08552782045 rad
∠ C' = γ' = 107.2187511432° = 107°13'3″ = 1.27702940633 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.