Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 14.86660687473   b = 13.03884048104   c = 6.08327625303

Area: T = 39.5
Perimeter: p = 33.9877236088
Semiperimeter: s = 16.9943618044

Angle ∠ A = α = 95.0643616853° = 95°3'49″ = 1.65991731129 rad
Angle ∠ B = β = 60.88438537339° = 60°53'2″ = 1.0632623709 rad
Angle ∠ C = γ = 24.0532529413° = 24°3'9″ = 0.42197958317 rad

Height: ha = 5.31441150726
Height: hb = 6.05990234119
Height: hc = 12.98875199971

Median: ma = 6.94662219947
Median: mb = 9.30105376189
Median: mc = 13.6477344064

Inradius: r = 2.32444020136
Circumradius: R = 7.46221568363

Vertex coordinates: A[0; -8] B[6; -9] C[1; 5]
Centroid: CG[2.33333333333; -4]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.29546036531; 2.32444020136]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 84.9366383147° = 84°56'11″ = 1.65991731129 rad
∠ B' = β' = 119.1166146266° = 119°6'58″ = 1.0632623709 rad
∠ C' = γ' = 155.9477470587° = 155°56'51″ = 0.42197958317 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     