194 252 180 triangle

Acute scalene triangle.

Sides: a = 194   b = 252   c = 180

Area: T = 17383.4676599
Perimeter: p = 626
Semiperimeter: s = 313

Angle ∠ A = α = 50.03876604588° = 50°2'16″ = 0.8733321925 rad
Angle ∠ B = β = 84.63333931145° = 84°38' = 1.4777131367 rad
Angle ∠ C = γ = 45.32989464266° = 45°19'44″ = 0.79111393616 rad

Height: ha = 179.2110995866
Height: hb = 137.9644020627
Height: hc = 193.1549628878

Median: ma = 196.3243712271
Median: mb = 138.3554616837
Median: mc = 206.0832507749

Inradius: r = 55.53882319458
Circumradius: R = 126.5554734492

Vertex coordinates: A[180; 0] B[0; 0] C[18.14444444444; 193.1549628878]
Centroid: CG[66.04881481481; 64.38332096261]
Coordinates of the circumscribed circle: U[90; 88.97224722735]
Coordinates of the inscribed circle: I[61; 55.53882319458]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.9622339541° = 129°57'44″ = 0.8733321925 rad
∠ B' = β' = 95.36766068855° = 95°22' = 1.4777131367 rad
∠ C' = γ' = 134.6711053573° = 134°40'16″ = 0.79111393616 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     