Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 4.24326406871   b = 1.41442135624   c = 4.4722135955

Area: T = 3
Perimeter: p = 10.12989902045
Semiperimeter: s = 5.06444951022

Angle ∠ A = α = 71.56550511771° = 71°33'54″ = 1.24990457724 rad
Angle ∠ B = β = 18.43549488229° = 18°26'6″ = 0.32217505544 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 1.41442135624
Height: hb = 4.24326406871
Height: hc = 1.34216407865

Median: ma = 2.55495097568
Median: mb = 4.30111626335
Median: mc = 2.23660679775

Inradius: r = 0.59223591472
Circumradius: R = 2.23660679775

Vertex coordinates: A[0; 3] B[4; 1] C[1; 4]
Centroid: CG[1.66766666667; 2.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.77770774417; 0.59223591472]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 108.4354948823° = 108°26'6″ = 1.24990457724 rad
∠ B' = β' = 161.5655051177° = 161°33'54″ = 0.32217505544 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     