Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 3.60655512755   b = 2.23660679775   c = 4.4722135955

Area: T = 4
Perimeter: p = 10.3143755208
Semiperimeter: s = 5.1576877604

Angle ∠ A = α = 53.13301023542° = 53°7'48″ = 0.9277295218 rad
Angle ∠ B = β = 29.74548812969° = 29°44'42″ = 0.51991461142 rad
Angle ∠ C = γ = 97.12550163489° = 97°7'30″ = 1.69551513213 rad

Height: ha = 2.21988007849
Height: hb = 3.5787708764
Height: hc = 1.7898854382

Median: ma = 3.04113812651
Median: mb = 3.9055124838
Median: mc = 2

Vertex coordinates: A[0; 3] B[4; 1] C[2; 4]
Centroid: CG[2; 2.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.35774105375; 0.77656631643]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.8769897646° = 126°52'12″ = 0.9277295218 rad
∠ B' = β' = 150.2555118703° = 150°15'18″ = 0.51991461142 rad
∠ C' = γ' = 82.87549836511° = 82°52'30″ = 1.69551513213 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    