5 7 11 triangle

Obtuse scalene triangle.

Sides: a = 5   b = 7   c = 11

Area: T = 12.96987123493
Perimeter: p = 23
Semiperimeter: s = 11.5

Angle ∠ A = α = 19.68550548247° = 19°41'6″ = 0.34435690201 rad
Angle ∠ B = β = 28.13875265744° = 28°8'15″ = 0.49110924821 rad
Angle ∠ C = γ = 132.1777418601° = 132°10'39″ = 2.30769311514 rad

Height: ha = 5.18774849397
Height: hb = 3.70553463855
Height: hc = 2.35879476999

Median: ma = 8.87441196746
Median: mb = 7.79442286341
Median: mc = 2.59880762114

Vertex coordinates: A[11; 0] B[0; 0] C[4.40990909091; 2.35879476999]
Centroid: CG[5.13663636364; 0.78659825666]
Coordinates of the circumscribed circle: U[5.5; -4.98331469971]
Coordinates of the inscribed circle: I[4.5; 1.12877141173]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.3154945175° = 160°18'54″ = 0.34435690201 rad
∠ B' = β' = 151.8622473426° = 151°51'45″ = 0.49110924821 rad
∠ C' = γ' = 47.82325813991° = 47°49'21″ = 2.30769311514 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    