37.9 26.4 40.59 triangle

Acute scalene triangle.

Sides: a = 37.9   b = 26.4   c = 40.59

Area: T = 485.3132936148
Perimeter: p = 104.89
Semiperimeter: s = 52.445

Angle ∠ A = α = 64.93302783567° = 64°55'49″ = 1.13332471416 rad
Angle ∠ B = β = 39.12201025903° = 39°7'12″ = 0.68327745939 rad
Angle ∠ C = γ = 75.9549619053° = 75°56'59″ = 1.32655709181 rad

Height: ha = 25.61101813271
Height: hb = 36.76661315264
Height: hc = 23.91329310741

Median: ma = 28.51658122802
Median: mb = 36.98329562096
Median: mc = 25.58990205948

Inradius: r = 9.25437503317
Circumradius: R = 20.92108983395

Vertex coordinates: A[40.59; 0] B[0; 0] C[29.40437706332; 23.91329310741]
Centroid: CG[23.33112568777; 7.97109770247]
Coordinates of the circumscribed circle: U[20.295; 5.07990710107]
Coordinates of the inscribed circle: I[26.045; 9.25437503317]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 115.0769721643° = 115°4'11″ = 1.13332471416 rad
∠ B' = β' = 140.887989741° = 140°52'48″ = 0.68327745939 rad
∠ C' = γ' = 104.0550380947° = 104°3'1″ = 1.32655709181 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     