Triangle calculator SSS - result

Please enter the triangle sides:

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

How did we calculate this triangle?

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     