Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 14.14221356237   b = 35.35553390593   c = 29.15547594742

Area: T = 200
Perimeter: p = 78.65222341573
Semiperimeter: s = 39.32661170786

Angle ∠ A = α = 22.83436541779° = 22°50'1″ = 0.39985224457 rad
Angle ∠ B = β = 104.0366243468° = 104°2'10″ = 1.81657749899 rad
Angle ∠ C = γ = 53.13301023542° = 53°7'48″ = 0.9277295218 rad

Height: ha = 28.28442712475
Height: hb = 11.3143708499
Height: hc = 13.72198868114

Median: ma = 31.62327766017
Median: mb = 14.57773797371
Median: mc = 22.63884628453

Vertex coordinates: A[0; 15] B[25; 30] C[35; 20]
Centroid: CG[20; 21.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-1.27114197006; 5.08656788022]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.1666345822° = 157°9'59″ = 0.39985224457 rad
∠ B' = β' = 75.96437565321° = 75°57'50″ = 1.81657749899 rad
∠ C' = γ' = 126.8769897646° = 126°52'12″ = 0.9277295218 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    