11 13 22 triangle

Obtuse scalene triangle.

Sides: a = 11   b = 13   c = 22

Area: T = 52.53657021463
Perimeter: p = 46
Semiperimeter: s = 23

Angle ∠ A = α = 21.55442815764° = 21°33'15″ = 0.37661931814 rad
Angle ∠ B = β = 25.73330865544° = 25°43'59″ = 0.44991270871 rad
Angle ∠ C = γ = 132.7132631869° = 132°42'45″ = 2.31662723851 rad

Height: ha = 9.55219458448
Height: hb = 8.08224157148
Height: hc = 4.77659729224

Median: ma = 17.21219144781
Median: mb = 16.13222658049
Median: mc = 4.89989794856

Vertex coordinates: A[22; 0] B[0; 0] C[9.90990909091; 4.77659729224]
Centroid: CG[10.63663636364; 1.59219909741]
Coordinates of the circumscribed circle: U[11; -10.15549989475]
Coordinates of the inscribed circle: I[10; 2.28441609629]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.4465718424° = 158°26'45″ = 0.37661931814 rad
∠ B' = β' = 154.2676913446° = 154°16'1″ = 0.44991270871 rad
∠ C' = γ' = 47.28773681308° = 47°17'15″ = 2.31662723851 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    