Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 3.60655512755   b = 8.06222577483   c = 5.83109518948

Area: T = 9.5
Perimeter: p = 17.49987609186
Semiperimeter: s = 8.74993804593

Angle ∠ A = α = 23.83987401832° = 23°50'19″ = 0.41660645057 rad
Angle ∠ B = β = 115.3466175942° = 115°20'46″ = 2.01331705498 rad
Angle ∠ C = γ = 40.81550838749° = 40°48'54″ = 0.71223575981 rad

Height: ha = 5.27696518641
Height: hb = 2.35766599572
Height: hc = 3.25884731177

Median: ma = 6.80107352544
Median: mb = 2.69325824036
Median: mc = 5.52326805086

Inradius: r = 1.08657911648
Circumradius: R = 4.46105069088

Vertex coordinates: A[0; 0] B[3; 5] C[1; 8]
Centroid: CG[1.33333333333; 4.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0.51443221307; 1.08657911648]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.1611259817° = 156°9'41″ = 0.41660645057 rad
∠ B' = β' = 64.65438240581° = 64°39'14″ = 2.01331705498 rad
∠ C' = γ' = 139.1854916125° = 139°11'6″ = 0.71223575981 rad

How did we calculate this triangle?

1. We compute side a from coordinates using the Pythagorean theorem 2. We compute side b from coordinates using the Pythagorean theorem 3. We compute side c from coordinates using the Pythagorean theorem 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. 4. The triangle circumference is the sum of the lengths of its three sides 5. Semiperimeter of the triangle 6. The triangle area using Heron's formula 7. Calculate the heights of the triangle from its area. 8. Calculation of the inner angles of the triangle using a Law of Cosines     