Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 2.82884271247   b = 4.24326406871   c = 5.09990195136

Area: T = 6
Perimeter: p = 12.17700873255
Semiperimeter: s = 6.08550436627

Angle ∠ A = α = 33.6990067526° = 33°41'24″ = 0.58880026035 rad
Angle ∠ B = β = 56.3109932474° = 56°18'36″ = 0.98327937232 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 4.24326406871
Height: hb = 2.82884271247
Height: hc = 2.35333936217

Median: ma = 4.4722135955
Median: mb = 3.53655339059
Median: mc = 2.55495097568

Inradius: r = 0.98660241491
Circumradius: R = 2.55495097568

Vertex coordinates: A[-5; 4] B[0; 3] C[-2; 1]
Centroid: CG[-2.33333333333; 2.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.65773494328; 0.98660241491]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.3109932474° = 146°18'36″ = 0.58880026035 rad
∠ B' = β' = 123.6990067526° = 123°41'24″ = 0.98327937232 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     