Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 12.80662484749   b = 14.31878210633   c = 6.40331242374

Area: T = 41
Perimeter: p = 33.52771937756
Semiperimeter: s = 16.76435968878

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 = 6.40331242374
Height: hb = 5.72771284253
Height: hc = 12.80662484749

Median: ma = 9.05553851381
Median: mb = 7.15989105316
Median: mc = 13.22003787824

Inradius: r = 2.44657758245
Circumradius: R = 7.15989105316

Vertex coordinates: A[5; 3] B[0; 7] C[-8; -3]
Centroid: CG[-1; 2.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0; 2.44657758245]

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     