16 23 27 triangle

Acute scalene triangle.

Sides: a = 16   b = 23   c = 27

Area: T = 183.4676618217
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 36.21991096219° = 36°13'9″ = 0.6322142715 rad
Angle ∠ B = β = 58.1454569176° = 58°8'40″ = 1.01548141743 rad
Angle ∠ C = γ = 85.63663212021° = 85°38'11″ = 1.49546357643 rad

Height: ha = 22.93333272771
Height: hb = 15.95436189754
Height: hc = 13.59901198679

Median: ma = 23.7769728648
Median: mb = 18.98802528961
Median: mc = 14.5

Vertex coordinates: A[27; 0] B[0; 0] C[8.44444444444; 13.59901198679]
Centroid: CG[11.81548148148; 4.5330039956]
Coordinates of the circumscribed circle: U[13.5; 1.03301601558]
Coordinates of the inscribed circle: I[10; 5.56595944914]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.7810890378° = 143°46'51″ = 0.6322142715 rad
∠ B' = β' = 121.8555430824° = 121°51'20″ = 1.01548141743 rad
∠ C' = γ' = 94.36436787979° = 94°21'49″ = 1.49546357643 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    