503 415 365 triangle

Acute scalene triangle.

Sides: a = 503   b = 415   c = 365

Area: T = 74594.17703566
Perimeter: p = 1283
Semiperimeter: s = 641.5

Angle ∠ A = α = 80.03218230577° = 80°1'55″ = 1.39768188187 rad
Angle ∠ B = β = 54.35502298339° = 54°21'1″ = 0.94985904598 rad
Angle ∠ C = γ = 45.61879471084° = 45°37'5″ = 0.7966183375 rad

Height: ha = 296.5977098833
Height: hb = 359.4989977622
Height: hc = 408.7355180036

Median: ma = 299.1219959214
Median: mb = 387.3776754594
Median: mc = 423.4511000707

Inradius: r = 116.2810857921
Circumradius: R = 255.3554824096

Vertex coordinates: A[365; 0] B[0; 0] C[293.1633013699; 408.7355180036]
Centroid: CG[219.3887671233; 136.2455060012]
Coordinates of the circumscribed circle: U[182.5; 178.6055252412]
Coordinates of the inscribed circle: I[226.5; 116.2810857921]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 99.96881769423° = 99°58'5″ = 1.39768188187 rad
∠ B' = β' = 125.6549770166° = 125°38'59″ = 0.94985904598 rad
∠ C' = γ' = 134.3822052892° = 134°22'55″ = 0.7966183375 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     