14 15 23 triangle

Obtuse scalene triangle.

Sides: a = 14   b = 15   c = 23

Area: T = 101.4699207152
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 36.03113118284° = 36°1'53″ = 0.62988650252 rad
Angle ∠ B = β = 39.06880914837° = 39°4'5″ = 0.68218668289 rad
Angle ∠ C = γ = 104.9010596688° = 104°54'2″ = 1.83108607995 rad

Height: ha = 14.49656010217
Height: hb = 13.52992276202
Height: hc = 8.82334093175

Median: ma = 18.11107702763
Median: mb = 17.5
Median: mc = 8.84659030065

Vertex coordinates: A[23; 0] B[0; 0] C[10.87695652174; 8.82334093175]
Centroid: CG[11.29898550725; 2.94111364392]
Coordinates of the circumscribed circle: U[11.5; -3.06600416492]
Coordinates of the inscribed circle: I[11; 3.90326618135]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.9698688172° = 143°58'7″ = 0.62988650252 rad
∠ B' = β' = 140.9321908516° = 140°55'55″ = 0.68218668289 rad
∠ C' = γ' = 75.09994033122° = 75°5'58″ = 1.83108607995 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    