10 17 21 triangle

Obtuse scalene triangle.

Sides: a = 10   b = 17   c = 21

Area: T = 84
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 28.07224869359° = 28°4'21″ = 0.49899573263 rad
Angle ∠ B = β = 53.13301023542° = 53°7'48″ = 0.9277295218 rad
Angle ∠ C = γ = 98.797741071° = 98°47'51″ = 1.72443401093 rad

Height: ha = 16.8
Height: hb = 9.88223529412
Height: hc = 8

Median: ma = 18.43990889146
Median: mb = 14.08801278403
Median: mc = 9.17987798753

Inradius: r = 3.5
Circumradius: R = 10.625

Vertex coordinates: A[21; 0] B[0; 0] C[6; 8]
Centroid: CG[9; 2.66766666667]
Coordinates of the circumscribed circle: U[10.5; -1.625]
Coordinates of the inscribed circle: I[7; 3.5]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.9287513064° = 151°55'39″ = 0.49899573263 rad
∠ B' = β' = 126.8769897646° = 126°52'12″ = 0.9277295218 rad
∠ C' = γ' = 81.203258929° = 81°12'9″ = 1.72443401093 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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