120 160 198.5 triangle

Acute scalene triangle.

Sides: a = 120   b = 160   c = 198.5

Area: T = 9598.837682712
Perimeter: p = 478.5
Semiperimeter: s = 239.25

Angle ∠ A = α = 37.19900483617° = 37°11'24″ = 0.64990887929 rad
Angle ∠ B = β = 53.70218770419° = 53°42'7″ = 0.93772745689 rad
Angle ∠ C = γ = 89.10880745964° = 89°6'29″ = 1.55552292918 rad

Height: ha = 159.9810613785
Height: hb = 119.9855460339
Height: hc = 96.714372118

Median: ma = 170.0033308791
Median: mb = 143.1822139249
Median: mc = 100.7444416719

Inradius: r = 40.12105301029
Circumradius: R = 99.26220269686

Vertex coordinates: A[198.5; 0] B[0; 0] C[71.03884130982; 96.714372118]
Centroid: CG[89.84661376994; 32.238790706]
Coordinates of the circumscribed circle: U[99.25; 1.5455153037]
Coordinates of the inscribed circle: I[79.25; 40.12105301029]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.8109951638° = 142°48'36″ = 0.64990887929 rad
∠ B' = β' = 126.2988122958° = 126°17'53″ = 0.93772745689 rad
∠ C' = γ' = 90.89219254036° = 90°53'31″ = 1.55552292918 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     