5.66 5.39 6.08 triangle

Acute scalene triangle.

Sides: a = 5.66   b = 5.39   c = 6.08

Area: T = 14.01110864705
Perimeter: p = 17.13
Semiperimeter: s = 8.565

Angle ∠ A = α = 58.76991648896° = 58°46'9″ = 1.0265715426 rad
Angle ∠ B = β = 54.51877182548° = 54°31'4″ = 0.95215136842 rad
Angle ∠ C = γ = 66.71331168556° = 66°42'47″ = 1.16443635434 rad

Height: ha = 4.95109139472
Height: hb = 5.1998918913
Height: hc = 4.60989100232

Median: ma = 55.0000349999
Median: mb = 5.21990013413
Median: mc = 4.61554360574

Inradius: r = 1.63658536451
Circumradius: R = 3.31096111495

Vertex coordinates: A[6.08; 0] B[0; 0] C[3.28553536184; 4.60989100232]
Centroid: CG[3.12217845395; 1.53663033411]
Coordinates of the circumscribed circle: U[3.04; 1.30884058855]
Coordinates of the inscribed circle: I[3.175; 1.63658536451]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.231083511° = 121°13'51″ = 1.0265715426 rad
∠ B' = β' = 125.4822281745° = 125°28'56″ = 0.95215136842 rad
∠ C' = γ' = 113.2876883144° = 113°17'13″ = 1.16443635434 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     