Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and c.

Acute scalene triangle.

Sides: a = 11.4   b = 13.7   c = 12.2

Area: T = 65.70438590476
Perimeter: p = 37.3
Semiperimeter: s = 18.65

Angle ∠ A = α = 51.83330483861° = 51°49'59″ = 0.90546573557 rad
Angle ∠ B = β = 70.8880147404° = 70°52'49″ = 1.23770919465 rad
Angle ∠ C = γ = 57.28768042099° = 57°17'12″ = 10.9998433514 rad

Height: ha = 11.52769928154
Height: hb = 9.59218042405
Height: hc = 10.7711124434

Median: ma = 11.6522253001
Median: mb = 9.61765222404
Median: mc = 11.02879191147

Inradius: r = 3.52329951232
Circumradius: R = 7.25499394542

Vertex coordinates: A[12.2; 0] B[0; 0] C[3.73440163934; 10.7711124434]
Centroid: CG[5.31113387978; 3.59903748113]
Coordinates of the circumscribed circle: U[6.1; 3.9188114609]
Coordinates of the inscribed circle: I[4.95; 3.52329951232]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.1676951614° = 128°10'1″ = 0.90546573557 rad
∠ B' = β' = 109.1219852596° = 109°7'11″ = 1.23770919465 rad
∠ C' = γ' = 122.713319579° = 122°42'48″ = 10.9998433514 rad

How did we calculate this triangle?

1. Input data entered: side a, b and c. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     