13 17 24 triangle

Obtuse scalene triangle.

Sides: a = 13   b = 17   c = 24

Area: T = 106.4899436096
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 31.46769762933° = 31°28'1″ = 0.5499202342 rad
Angle ∠ B = β = 43.04990798002° = 43°2'57″ = 0.75113481825 rad
Angle ∠ C = γ = 105.4843943906° = 105°29'2″ = 1.84110421292 rad

Height: ha = 16.38329901686
Height: hb = 12.52881689524
Height: hc = 8.87441196746

Median: ma = 19.75547462651
Median: mb = 17.32877234512
Median: mc = 9.22195444573

Inradius: r = 3.94440531887
Circumradius: R = 12.4521939353

Vertex coordinates: A[24; 0] B[0; 0] C[9.5; 8.87441196746]
Centroid: CG[11.16766666667; 2.95880398915]
Coordinates of the circumscribed circle: U[12; -3.32442734019]
Coordinates of the inscribed circle: I[10; 3.94440531887]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.5333023707° = 148°31'59″ = 0.5499202342 rad
∠ B' = β' = 136.95109202° = 136°57'3″ = 0.75113481825 rad
∠ C' = γ' = 74.51660560935° = 74°30'58″ = 1.84110421292 rad

Calculate another triangle




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.


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