21.21 36.51 33.73 triangle

Acute scalene triangle.

Sides: a = 21.21   b = 36.51   c = 33.73

Area: T = 351.9988328989
Perimeter: p = 91.45
Semiperimeter: s = 45.725

Angle ∠ A = α = 34.86664884229° = 34°51'59″ = 0.60985350216 rad
Angle ∠ B = β = 79.75503848833° = 79°45'1″ = 1.39219067959 rad
Angle ∠ C = γ = 65.38331266938° = 65°22'59″ = 1.14111508361 rad

Height: ha = 33.19217330494
Height: hb = 19.28222968496
Height: hc = 20.87215285496

Median: ma = 33.50994087534
Median: mb = 21.46602766758
Median: mc = 24.63772456862

Inradius: r = 7.69881591906
Circumradius: R = 18.55110394737

Vertex coordinates: A[33.73; 0] B[0; 0] C[3.77440423955; 20.87215285496]
Centroid: CG[12.50113474652; 6.95771761832]
Coordinates of the circumscribed circle: U[16.865; 7.72774083983]
Coordinates of the inscribed circle: I[9.215; 7.69881591906]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.1343511577° = 145°8'1″ = 0.60985350216 rad
∠ B' = β' = 100.2549615117° = 100°14'59″ = 1.39219067959 rad
∠ C' = γ' = 114.6176873306° = 114°37'1″ = 1.14111508361 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     