# 197 208 299 triangle

### Obtuse scalene triangle.

Sides: a = 197   b = 208   c = 299

Area: T = 20405.92985503
Perimeter: p = 704
Semiperimeter: s = 352

Angle ∠ A = α = 41.01224937709° = 41°45″ = 0.71658030508 rad
Angle ∠ B = β = 43.85773690016° = 43°51'27″ = 0.76554554903 rad
Angle ∠ C = γ = 95.13301372275° = 95°7'49″ = 1.66603341125 rad

Height: ha = 207.1676787313
Height: hb = 196.2110851445
Height: hc = 136.4954505353

Median: ma = 237.9711111692
Median: mb = 230.8444103238
Median: mc = 136.6987659087

Vertex coordinates: A[299; 0] B[0; 0] C[142.0550167224; 136.4954505353]
Centroid: CG[147.0176722408; 45.49881684511]
Coordinates of the circumscribed circle: U[149.5; -13.42217856994]
Coordinates of the inscribed circle: I[144; 57.9711387927]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.9887506229° = 138°59'15″ = 0.71658030508 rad
∠ B' = β' = 136.1432630998° = 136°8'33″ = 0.76554554903 rad
∠ C' = γ' = 84.87698627725° = 84°52'11″ = 1.66603341125 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    