Triangle calculator SSS - result

Please enter the triangle sides:

Obtuse scalene triangle.

Sides: a = 10   b = 23   c = 27

Area: 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

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     