14 23 29 triangle

Obtuse scalene triangle.

Sides: a = 14   b = 23   c = 29

Area: T = 158.3676663159
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 28.35504015844° = 28°21'1″ = 0.49548078519 rad
Angle ∠ B = β = 51.27326028553° = 51°16'21″ = 0.89548757359 rad
Angle ∠ C = γ = 100.377699556° = 100°22'37″ = 1.75219090658 rad

Height: ha = 22.62438090227
Height: hb = 13.77110141877
Height: hc = 10.92218388385

Median: ma = 25.21990404258
Median: mb = 19.6533244007
Median: mc = 12.33989626793

Vertex coordinates: A[29; 0] B[0; 0] C[8.75986206897; 10.92218388385]
Centroid: CG[12.58662068966; 3.64106129462]
Coordinates of the circumscribed circle: U[14.5; -2.65552305366]
Coordinates of the inscribed circle: I[10; 4.79989897927]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.6549598416° = 151°38'59″ = 0.49548078519 rad
∠ B' = β' = 128.7277397145° = 128°43'39″ = 0.89548757359 rad
∠ C' = γ' = 79.62330044397° = 79°37'23″ = 1.75219090658 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    