4 21 23 triangle
Obtuse scalene triangle.
Sides: a = 4 b = 21 c = 23Area: T = 37.9477331922
Perimeter: p = 48
Semiperimeter: s = 24
Angle ∠ A = α = 9.04404551853° = 9°2'26″ = 0.15877857089 rad
Angle ∠ B = β = 55.58326112896° = 55°34'57″ = 0.97700995739 rad
Angle ∠ C = γ = 115.3776933525° = 115°22'37″ = 2.01437073709 rad
Height: ha = 18.9743665961
Height: hb = 3.61440316116
Height: hc = 3.32997679932
Median: ma = 21.93217121995
Median: mb = 12.73877392029
Median: mc = 9.81107084352
Inradius: r = 1.58111388301
Circumradius: R = 12.72881675822
Vertex coordinates: A[23; 0] B[0; 0] C[2.26108695652; 3.32997679932]
Centroid: CG[8.42202898551; 1.10999226644]
Coordinates of the circumscribed circle: U[11.5; -5.45549289638]
Coordinates of the inscribed circle: I[3; 1.58111388301]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.9659544815° = 170°57'34″ = 0.15877857089 rad
∠ B' = β' = 124.417738871° = 124°25'3″ = 0.97700995739 rad
∠ C' = γ' = 64.62330664748° = 64°37'23″ = 2.01437073709 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
