Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 3.16222776602   b = 1.41442135624   c = 2.82884271247

Area: T = 2
Perimeter: p = 7.40549183473
Semiperimeter: s = 3.70224591736

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

Height: ha = 1.26549110641
Height: hb = 2.82884271247
Height: hc = 1.41442135624

Median: ma = 1.58111388301
Median: mb = 2.91554759474
Median: mc = 2

Inradius: r = 0.54401815135
Circumradius: R = 1.58111388301

Vertex coordinates: A[-4; 5] B[-6; 3] C[-5; 6]
Centroid: CG[-5; 4.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.0880363027; 0.54401815135]

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