45.3 36.1 74.37 triangle

Obtuse scalene triangle.

Sides: a = 45.3   b = 36.1   c = 74.37

Area: T = 610.5322296664
Perimeter: p = 155.77
Semiperimeter: s = 77.885

Angle ∠ A = α = 27.05329558741° = 27°3'11″ = 0.47221631524 rad
Angle ∠ B = β = 21.25504557803° = 21°15'2″ = 0.37108904209 rad
Angle ∠ C = γ = 131.6976588346° = 131°41'48″ = 2.29985390803 rad

Height: ha = 26.95550682854
Height: hb = 33.82545039703
Height: hc = 16.41987789879

Median: ma = 53.8899061506
Median: mb = 58.87701193306
Median: mc = 17.17334031281

Inradius: r = 7.83988944811
Circumradius: R = 49.80105972676

Vertex coordinates: A[74.37; 0] B[0; 0] C[42.22198258706; 16.41987789879]
Centroid: CG[38.86332752902; 5.47329263293]
Coordinates of the circumscribed circle: U[37.185; -33.1276654875]
Coordinates of the inscribed circle: I[41.785; 7.83988944811]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.9477044126° = 152°56'49″ = 0.47221631524 rad
∠ B' = β' = 158.754954422° = 158°44'58″ = 0.37108904209 rad
∠ C' = γ' = 48.30334116544° = 48°18'12″ = 2.29985390803 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     