3473 4822 5009.12 triangle

Acute scalene triangle.

Sides: a = 3473   b = 4822   c = 5009.12

Area: T = 7973903.164374
Perimeter: p = 13304.12
Semiperimeter: s = 6652.06

Angle ∠ A = α = 41.31993944448° = 41°19'10″ = 0.7211159478 rad
Angle ∠ B = β = 66.45105857789° = 66°27'2″ = 1.16597815117 rad
Angle ∠ C = γ = 72.23300197763° = 72°13'48″ = 1.26106516639 rad

Height: ha = 4591.943962784
Height: hb = 3307.301118778
Height: hc = 3183.754409802

Median: ma = 4599.57107775
Median: mb = 3572.616600052
Median: mc = 3374.001143841

Inradius: r = 1198.712185223
Circumradius: R = 2630.041074505

Vertex coordinates: A[5009.12; 0] B[0; 0] C[1387.60218317; 3183.754409802]
Centroid: CG[2132.241061057; 1061.251136601]
Coordinates of the circumscribed circle: U[2504.56; 802.6798968828]
Coordinates of the inscribed circle: I[1830.06; 1198.712185223]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.6810605555° = 138°40'50″ = 0.7211159478 rad
∠ B' = β' = 113.5499414221° = 113°32'58″ = 1.16597815117 rad
∠ C' = γ' = 107.7769980224° = 107°46'12″ = 1.26106516639 rad

How did we calculate this triangle?

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. 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     