100 50 75 triangle

Obtuse scalene triangle.

Sides: a = 100   b = 50   c = 75

Area: T = 1815.461094353
Perimeter: p = 225
Semiperimeter: s = 112.5

Angle ∠ A = α = 104.4787512186° = 104°28'39″ = 1.82334765819 rad
Angle ∠ B = β = 28.95550243719° = 28°57'18″ = 0.50553605103 rad
Angle ∠ C = γ = 46.56774634422° = 46°34'3″ = 0.81327555614 rad

Height: ha = 36.30992188707
Height: hb = 72.61884377414
Height: hc = 48.41222918276

Median: ma = 39.52884707521
Median: mb = 84.77991247891
Median: mc = 69.59770545354

Inradius: r = 16.13774306092
Circumradius: R = 51.64397779494

Vertex coordinates: A[75; 0] B[0; 0] C[87.5; 48.41222918276]
Centroid: CG[54.16766666667; 16.13774306092]
Coordinates of the circumscribed circle: U[37.5; 35.50223473402]
Coordinates of the inscribed circle: I[62.5; 16.13774306092]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 75.52224878141° = 75°31'21″ = 1.82334765819 rad
∠ B' = β' = 151.0454975628° = 151°2'42″ = 0.50553605103 rad
∠ C' = γ' = 133.4332536558° = 133°25'57″ = 0.81327555614 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     