16 24 27 triangle

Acute scalene triangle.

Sides: a = 16   b = 24   c = 27

Area: T = 190.2655439584
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 35.96113238696° = 35°57'41″ = 0.62876435049 rad
Angle ∠ B = β = 61.74660997912° = 61°44'46″ = 1.07876727416 rad
Angle ∠ C = γ = 82.29325763392° = 82°17'33″ = 1.43662764071 rad

Height: ha = 23.7833179948
Height: hb = 15.85554532986
Height: hc = 14.09437362655

Median: ma = 24.25990189414
Median: mb = 18.66881547026
Median: mc = 15.28988848514

Vertex coordinates: A[27; 0] B[0; 0] C[7.57440740741; 14.09437362655]
Centroid: CG[11.5254691358; 4.69879120885]
Coordinates of the circumscribed circle: U[13.5; 1.82770527783]
Coordinates of the inscribed circle: I[9.5; 5.68795653607]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.039867613° = 144°2'19″ = 0.62876435049 rad
∠ B' = β' = 118.2543900209° = 118°15'14″ = 1.07876727416 rad
∠ C' = γ' = 97.70774236608° = 97°42'27″ = 1.43662764071 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    