Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 15.62204993518   b = 7.81102496759   c = 17.46442491966

Area: T = 61
Perimeter: p = 40.89549982243
Semiperimeter: s = 20.44774991121

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 = 7.81102496759
Height: hb = 15.62204993518
Height: hc = 6.98656996786

Median: ma = 11.04553610172
Median: mb = 16.10112421881
Median: mc = 8.73221245983

Inradius: r = 2.98332499156
Circumradius: R = 8.73221245983

Vertex coordinates: A[-9; -5] B[8; -1] C[-4; -11]
Centroid: CG[-1.66766666667; -5.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[5.96664998311; 2.98332499156]

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     