10 23 27 triangle
Obtuse scalene triangle.
Sides: a = 10 b = 23 c = 27Area: T = 112.2549721603
Perimeter: p = 60
Semiperimeter: s = 30
Angle ∠ A = α = 21.19331307973° = 21°11'35″ = 0.37698899112 rad
Angle ∠ B = β = 56.25110114041° = 56°15'4″ = 0.98217653566 rad
Angle ∠ C = γ = 102.5565857799° = 102°33'21″ = 1.79899373858 rad
Height: ha = 22.45499443206
Height: hb = 9.76108453568
Height: hc = 8.31547941928
Median: ma = 24.57664114549
Median: mb = 16.88002976164
Median: mc = 11.5
Inradius: r = 3.74216573868
Circumradius: R = 13.8310769269
Vertex coordinates: A[27; 0] B[0; 0] C[5.55655555556; 8.31547941928]
Centroid: CG[10.85218518519; 2.77215980643]
Coordinates of the circumscribed circle: U[13.5; -3.00766889715]
Coordinates of the inscribed circle: I[7; 3.74216573868]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.8076869203° = 158°48'25″ = 0.37698899112 rad
∠ B' = β' = 123.7498988596° = 123°44'56″ = 0.98217653566 rad
∠ C' = γ' = 77.44441422014° = 77°26'39″ = 1.79899373858 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
