Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 1.41442135624   b = 8.6022325267   c = 8.48552813742

Area: T = 6
Perimeter: p = 18.50218202037
Semiperimeter: s = 9.25109101018

Angle ∠ A = α = 9.4622322208° = 9°27'44″ = 0.16551486774 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 80.5387677792° = 80°32'16″ = 1.40656476494 rad

Height: ha = 8.48552813742
Height: hb = 1.39549716649
Height: hc = 1.41442135624

Median: ma = 8.5154693183
Median: mb = 4.30111626335
Median: mc = 4.4722135955

Inradius: r = 0.64985848348
Circumradius: R = 4.30111626335

Vertex coordinates: A[-3; -1] B[3; 5] C[2; 6]
Centroid: CG[0.66766666667; 3.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0; 0.64985848348]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.5387677792° = 170°32'16″ = 0.16551486774 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 99.4622322208° = 99°27'44″ = 1.40656476494 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     