Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 8.06222577483   b = 6.70882039325   c = 4.4722135955

Area: T = 15
Perimeter: p = 19.24325976358
Semiperimeter: s = 9.62112988179

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

Height: ha = 3.72110420377
Height: hb = 4.4722135955
Height: hc = 6.70882039325

Median: ma = 4.03111288741
Median: mb = 5.59901699437
Median: mc = 7.07110678119

Inradius: r = 1.55990410696
Circumradius: R = 4.03111288741

Vertex coordinates: A[8; -4] B[4; -6] C[11; -10]
Centroid: CG[7.66766666667; -6.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.03993607131; 1.55990410696]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 123.6990067526° = 123°41'24″ = 0.98327937232 rad
∠ C' = γ' = 146.3109932474° = 146°18'36″ = 0.58880026035 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     