5 15 17 triangle

Obtuse scalene triangle.

Sides: a = 5   b = 15   c = 17

Area: T = 36.21103231137
Perimeter: p = 37
Semiperimeter: s = 18.5

Angle ∠ A = α = 16.49992344912° = 16°29'57″ = 0.28879659659 rad
Angle ∠ B = β = 58.43107033639° = 58°25'51″ = 1.0219808158 rad
Angle ∠ C = γ = 105.0770062145° = 105°4'12″ = 1.83438185297 rad

Height: ha = 14.48441292455
Height: hb = 4.82880430818
Height: hc = 4.26600380134

Median: ma = 15.83550876221
Median: mb = 10.03774299499
Median: mc = 7.26329195232

Vertex coordinates: A[17; 0] B[0; 0] C[2.61876470588; 4.26600380134]
Centroid: CG[6.53992156863; 1.42200126711]
Coordinates of the circumscribed circle: U[8.5; -2.28987119714]
Coordinates of the inscribed circle: I[3.5; 1.95773147629]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.5010765509° = 163°30'3″ = 0.28879659659 rad
∠ B' = β' = 121.5699296636° = 121°34'9″ = 1.0219808158 rad
∠ C' = γ' = 74.93299378551° = 74°55'48″ = 1.83438185297 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    