Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene Pythagorean triangle.

Sides: a = 11.18803398875   b = 6.70882039325   c = 8.944427191

Area: T = 30
Perimeter: p = 26.833281573
Semiperimeter: s = 13.4166407865

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 36.87698976458° = 36°52'12″ = 0.64435011088 rad
Angle ∠ C = γ = 53.13301023542° = 53°7'48″ = 0.9277295218 rad

Height: ha = 5.3676563146
Height: hb = 8.944427191
Height: hc = 6.70882039325

Median: ma = 5.59901699437
Median: mb = 9.55224865873
Median: mc = 8.06222577483

Vertex coordinates: A[-2; 4] B[6; 0] C[-5; -2]
Centroid: CG[-0.33333333333; 0.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[2.981142397; 2.23660679775]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 143.1330102354° = 143°7'48″ = 0.64435011088 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    