# 16 27 28 triangle

### 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?

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    