# 400 599 320 triangle

### Obtuse scalene triangle.

Sides: a = 400   b = 599   c = 320

Area: T = 59288.93661512
Perimeter: p = 1319
Semiperimeter: s = 659.5

Angle ∠ A = α = 38.21657302689° = 38°12'57″ = 0.66769903192 rad
Angle ∠ B = β = 112.121115944° = 112°7'16″ = 1.95768833934 rad
Angle ∠ C = γ = 29.66331102915° = 29°39'47″ = 0.5187718941 rad

Height: ha = 296.4454680756
Height: hb = 197.9659720037
Height: hc = 370.5565850945

Median: ma = 436.5788171694
Median: mb = 203.7154874273
Median: mc = 483.5299213182

Vertex coordinates: A[320; 0] B[0; 0] C[-150.62765625; 370.5565850945]
Centroid: CG[56.45878125; 123.5198616982]
Coordinates of the circumscribed circle: U[160; 280.9329985951]
Coordinates of the inscribed circle: I[60.5; 89.9899827371]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.7844269731° = 141°47'3″ = 0.66769903192 rad
∠ B' = β' = 67.87988405604° = 67°52'44″ = 1.95768833934 rad
∠ C' = γ' = 150.3376889708° = 150°20'13″ = 0.5187718941 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    