Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 10.77703296143   b = 5.38551648071   c = 12.04215945788

Area: T = 29
Perimeter: p = 28.19770890002
Semiperimeter: s = 14.09985445001

Angle ∠ A = α = 63.43549488229° = 63°26'6″ = 1.10771487178 rad
Angle ∠ B = β = 26.56550511771° = 26°33'54″ = 0.4643647609 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 5.38551648071
Height: hb = 10.77703296143
Height: hc = 4.81766378315

Median: ma = 7.61657731059
Median: mb = 11.10218016556
Median: mc = 6.02107972894

Vertex coordinates: A[-2; 7] B[7; -1] C[3; 9]
Centroid: CG[2.66766666667; 5]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[4.11438998426; 2.05769499213]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 116.5655051177° = 116°33'54″ = 1.10771487178 rad
∠ B' = β' = 153.4354948823° = 153°26'6″ = 0.4643647609 rad
∠ C' = γ' = 90° = 1.57107963268 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    