20 25 27 triangle
Acute scalene triangle.
Sides: a = 20 b = 25 c = 27Area: 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
Calculate another triangle
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
