Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 12.64991106407   b = 14.14221356237   c = 6.32545553203

Area: T = 40
Perimeter: p = 33.11658015847
Semiperimeter: s = 16.55879007924

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

Height: ha = 6.32545553203
Height: hb = 5.65768542495
Height: hc = 12.64991106407

Median: ma = 8.944427191
Median: mb = 7.07110678119
Median: mc = 13.03884048104

Inradius: r = 2.41657651686
Circumradius: R = 7.07110678119

Vertex coordinates: A[1; -2] B[7; 0] C[11; -12]
Centroid: CG[6.33333333333; -4.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0; 2.41657651686]

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