274 447 464 triangle

Acute scalene triangle.

Sides: a = 274   b = 447   c = 464

Area: T = 59399.38660527
Perimeter: p = 1185
Semiperimeter: s = 592.5

Angle ∠ A = α = 34.94441832341° = 34°56'39″ = 0.61098910519 rad
Angle ∠ B = β = 69.13550871679° = 69°8'6″ = 1.20766348997 rad
Angle ∠ C = γ = 75.9210729598° = 75°55'15″ = 1.3255066702 rad

Height: ha = 433.5722160969
Height: hb = 265.7699065113
Height: hc = 256.0321836434

Median: ma = 434.4922232382
Median: mb = 308.6599659754
Median: mc = 289.169863592

Inradius: r = 100.2522128359
Circumradius: R = 239.1855098435

Vertex coordinates: A[464; 0] B[0; 0] C[97.58994396552; 256.0321836434]
Centroid: CG[187.1966479885; 85.3443945478]
Coordinates of the circumscribed circle: U[232; 58.18551468454]
Coordinates of the inscribed circle: I[145.5; 100.2522128359]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.0565816766° = 145°3'21″ = 0.61098910519 rad
∠ B' = β' = 110.8654912832° = 110°51'54″ = 1.20766348997 rad
∠ C' = γ' = 104.0799270402° = 104°4'45″ = 1.3255066702 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     