10 12 17 triangle

Obtuse scalene triangle.

Sides: a = 10   b = 12   c = 17

Area: T = 58.93658761706
Perimeter: p = 39
Semiperimeter: s = 19.5

Angle ∠ A = α = 35.2966144734° = 35°17'46″ = 0.61660339389 rad
Angle ∠ B = β = 43.89769323912° = 43°53'49″ = 0.76661460018 rad
Angle ∠ C = γ = 100.8076922875° = 100°48'25″ = 1.7599412713 rad

Height: ha = 11.78771752341
Height: hb = 9.82326460284
Height: hc = 6.93436324907

Median: ma = 13.83883525031
Median: mb = 12.5989678312
Median: mc = 7.05333679898

Inradius: r = 3.02223526241
Circumradius: R = 8.65334727765

Vertex coordinates: A[17; 0] B[0; 0] C[7.20658823529; 6.93436324907]
Centroid: CG[8.0698627451; 2.31112108302]
Coordinates of the circumscribed circle: U[8.5; -1.62325261456]
Coordinates of the inscribed circle: I[7.5; 3.02223526241]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.7043855266° = 144°42'14″ = 0.61660339389 rad
∠ B' = β' = 136.1033067609° = 136°6'11″ = 0.76661460018 rad
∠ C' = γ' = 79.19330771251° = 79°11'35″ = 1.7599412713 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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