Triangle calculator SSS - result

Please enter the triangle sides:

Obtuse scalene triangle.

Sides: a = 13   b = 23   c = 30

Area: T = 140.7122472795
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 24.07106146226° = 24°4'14″ = 0.42201114781 rad
Angle ∠ B = β = 46.18769385396° = 46°11'13″ = 0.80661141489 rad
Angle ∠ C = γ = 109.7422446838° = 109°44'33″ = 1.91553670265 rad

Height: ha = 21.64880727376
Height: hb = 12.23658671995
Height: hc = 9.38108315196

Median: ma = 25.92877843249
Median: mb = 20.05661711201
Median: mc = 11.13655287257

Inradius: r = 4.26440143271
Circumradius: R = 15.93767535476

Vertex coordinates: A[30; 0] B[0; 0] C[9; 9.38108315196]
Centroid: CG[13; 3.12769438399]
Coordinates of the circumscribed circle: U[15; -5.3833318088]
Coordinates of the inscribed circle: I[10; 4.26440143271]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.9299385377° = 155°55'46″ = 0.42201114781 rad
∠ B' = β' = 133.813306146° = 133°48'47″ = 0.80661141489 rad
∠ C' = γ' = 70.25875531622° = 70°15'27″ = 1.91553670265 rad

How did we calculate this triangle?

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     