Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 16   b = 27   c = 28

Area: T = 210.07436478
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 33.76224154142° = 33°45'45″ = 0.58992653124 rad
Angle ∠ B = β = 69.69900687004° = 69°41'24″ = 1.21663211548 rad
Angle ∠ C = γ = 76.54875158854° = 76°32'51″ = 1.33660061864 rad

Height: ha = 26.2599205975
Height: hb = 15.56110109481
Height: hc = 15.00552605571

Median: ma = 26.31553947339
Median: mb = 18.37879759495
Median: mc = 17.21991753577

Inradius: r = 5.91875675437
Circumradius: R = 14.39549516356

Vertex coordinates: A[28; 0] B[0; 0] C[5.55435714286; 15.00552605571]
Centroid: CG[11.18545238095; 5.0021753519]
Coordinates of the circumscribed circle: U[14; 3.34988255541]
Coordinates of the inscribed circle: I[8.5; 5.91875675437]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.2387584586° = 146°14'15″ = 0.58992653124 rad
∠ B' = β' = 110.31099313° = 110°18'36″ = 1.21663211548 rad
∠ C' = γ' = 103.4522484115° = 103°27'9″ = 1.33660061864 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     