5 14 17 triangle

Obtuse scalene triangle.

Sides: a = 5   b = 14   c = 17

Area: T = 30.59441170816
Perimeter: p = 36
Semiperimeter: s = 18

Angle ∠ A = α = 14.89876656557° = 14°53'52″ = 0.26600133166 rad
Angle ∠ B = β = 46.04330532762° = 46°2'35″ = 0.80436028773 rad
Angle ∠ C = γ = 119.0599281068° = 119°3'33″ = 2.07879764597 rad

Height: ha = 12.23876468326
Height: hb = 4.37105881545
Height: hc = 3.59993078919

Median: ma = 15.37704261489
Median: mb = 10.39223048454
Median: mc = 6.18546584384

Vertex coordinates: A[17; 0] B[0; 0] C[3.47105882353; 3.59993078919]
Centroid: CG[6.82435294118; 1.21997692973]
Coordinates of the circumscribed circle: U[8.5; -4.72331302546]
Coordinates of the inscribed circle: I[4; 1.76996731712]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.1022334344° = 165°6'8″ = 0.26600133166 rad
∠ B' = β' = 133.9576946724° = 133°57'25″ = 0.80436028773 rad
∠ C' = γ' = 60.9410718932° = 60°56'27″ = 2.07879764597 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    