47 45 55 triangle

Acute scalene triangle.

Sides: a = 47   b = 45   c = 55

Area: T = 1013.386600124
Perimeter: p = 147
Semiperimeter: s = 73.5

Angle ∠ A = α = 54.97546089071° = 54°58'29″ = 0.95994879304 rad
Angle ∠ B = β = 51.6332998341° = 51°37'59″ = 0.90111658237 rad
Angle ∠ C = γ = 73.39223927519° = 73°23'33″ = 1.28109388994 rad

Height: ha = 43.12328085632
Height: hb = 45.03993778327
Height: hc = 36.85504000449

Median: ma = 44.41656503949
Median: mb = 45.94328993426
Median: mc = 36.88883450428

Inradius: r = 13.78875646427
Circumradius: R = 28.69771104441

Vertex coordinates: A[55; 0] B[0; 0] C[29.17327272727; 36.85504000449]
Centroid: CG[28.05875757576; 12.28334666816]
Coordinates of the circumscribed circle: U[27.5; 8.20220819213]
Coordinates of the inscribed circle: I[28.5; 13.78875646427]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.0255391093° = 125°1'31″ = 0.95994879304 rad
∠ B' = β' = 128.3677001659° = 128°22'1″ = 0.90111658237 rad
∠ C' = γ' = 106.6087607248° = 106°36'27″ = 1.28109388994 rad

How did we calculate this triangle?

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     