12 19 23 triangle

Obtuse scalene triangle.

Sides: a = 12   b = 19   c = 23

Area: T = 113.8421995766
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 31.44004274006° = 31°24'2″ = 0.54880408447 rad
Angle ∠ B = β = 55.58326112896° = 55°34'57″ = 0.97700995739 rad
Angle ∠ C = γ = 93.01769613098° = 93°1'1″ = 1.62334522351 rad

Height: ha = 18.9743665961
Height: hb = 11.98333679754
Height: hc = 9.89993039797

Median: ma = 20.22437484162
Median: mb = 15.69223548265
Median: mc = 10.96658560997

Vertex coordinates: A[23; 0] B[0; 0] C[6.78326086957; 9.89993039797]
Centroid: CG[9.92875362319; 3.32997679932]
Coordinates of the circumscribed circle: U[11.5; -0.60661032182]
Coordinates of the inscribed circle: I[8; 4.21663702136]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.6599572599° = 148°35'58″ = 0.54880408447 rad
∠ B' = β' = 124.417738871° = 124°25'3″ = 0.97700995739 rad
∠ C' = γ' = 86.98330386902° = 86°58'59″ = 1.62334522351 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    