Triangle calculator ASA

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Obtuse scalene triangle.

Sides: a = 29.87992351578   b = 413.7411167802   c = 405

Area: T = 5844.3787794
Perimeter: p = 848.622040296
Semiperimeter: s = 424.311020148

Angle ∠ A = α = 4° = 0.07698131701 rad
Angle ∠ B = β = 105° = 1.83325957146 rad
Angle ∠ C = γ = 71° = 1.23991837689 rad

Height: ha = 391.2199959647
Height: hb = 28.25113718664
Height: hc = 28.86111249087

Median: ma = 409.1211234836
Median: mb = 199.157683735
Median: mc = 212.2055116135

Vertex coordinates: A[405; 0] B[0; 0] C[-7.73333151119; 28.86111249087]
Centroid: CG[132.4222228296; 9.62203749696]
Coordinates of the circumscribed circle: U[202.5; 69.72663416912]
Coordinates of the inscribed circle: I[10.56990336778; 13.77438328553]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 176° = 0.07698131701 rad
∠ B' = β' = 75° = 1.83325957146 rad
∠ C' = γ' = 109° = 1.23991837689 rad

How did we calculate this triangle?

1. Calculate the third unknown inner angle 2. By using the law of sines, we calculate unknown side a 3. By using the law of sines, we calculate last unknown side b 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. 4. The triangle circumference is the sum of the lengths of its three sides 5. Semiperimeter of the triangle 6. The triangle area using Heron's formula 7. Calculate the heights of the triangle from its area. 8. Calculation of the inner angles of the triangle using a Law of Cosines    