# 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

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? ### 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    