5 22 23 triangle

Obtuse scalene triangle.

Sides: a = 5   b = 22   c = 23

Area: T = 54.77222557505
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 12.5033023303° = 12°30'11″ = 0.21882189231 rad
Angle ∠ B = β = 72.28110681266° = 72°16'52″ = 1.26215426257 rad
Angle ∠ C = γ = 95.21659085705° = 95°12'57″ = 1.66218311048 rad

Height: ha = 21.90989023002
Height: hb = 4.97992959773
Height: hc = 4.76328048479

Median: ma = 22.36662692463
Median: mb = 12.49899959968
Median: mc = 11.05766721937

Vertex coordinates: A[23; 0] B[0; 0] C[1.52217391304; 4.76328048479]
Centroid: CG[8.17439130435; 1.5887601616]
Coordinates of the circumscribed circle: U[11.5; -1.05498015686]
Coordinates of the inscribed circle: I[3; 2.191089023]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.4976976697° = 167°29'49″ = 0.21882189231 rad
∠ B' = β' = 107.7198931873° = 107°43'8″ = 1.26215426257 rad
∠ C' = γ' = 84.78440914295° = 84°47'3″ = 1.66218311048 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    