11 17 23 triangle

Obtuse scalene triangle.

Sides: a = 11   b = 17   c = 23

Area: T = 88.64107778621
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 26.96223889975° = 26°57'45″ = 0.47105824622 rad
Angle ∠ B = β = 44.48546064675° = 44°29'5″ = 0.77664028493 rad
Angle ∠ C = γ = 108.5533004535° = 108°33'11″ = 1.89546073421 rad

Height: ha = 16.11765050658
Height: hb = 10.42883268073
Height: hc = 7.70878937271

Median: ma = 19.4621500456
Median: mb = 15.89881130956
Median: mc = 8.52993610546

Vertex coordinates: A[23; 0] B[0; 0] C[7.8487826087; 7.70878937271]
Centroid: CG[10.28326086957; 2.5699297909]
Coordinates of the circumscribed circle: U[11.5; -3.8659679577]
Coordinates of the inscribed circle: I[8.5; 3.47661089358]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.0387611003° = 153°2'15″ = 0.47105824622 rad
∠ B' = β' = 135.5155393533° = 135°30'55″ = 0.77664028493 rad
∠ C' = γ' = 71.4476995465° = 71°26'49″ = 1.89546073421 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    