Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 7.28801098893   b = 16.27988205961   c = 14.56602197786

Area: T = 53
Perimeter: p = 38.11991502639
Semiperimeter: s = 19.0659575132

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

Height: ha = 14.56602197786
Height: hb = 6.51215282384
Height: hc = 7.28801098893

Median: ma = 15.00883310198
Median: mb = 8.1399410298
Median: mc = 10.2965630141

Inradius: r = 2.78107545359
Circumradius: R = 8.1399410298

Vertex coordinates: A[5; 1] B[-9; 5] C[-7; 12]
Centroid: CG[-3.66766666667; 6]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0; 2.78107545359]

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