Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 16.12545154966   b = 8.944427191   c = 13.4166407865

Area: T = 60
Perimeter: p = 38.48551952716
Semiperimeter: s = 19.24325976358

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

Height: ha = 7.44220840754
Height: hb = 13.4166407865
Height: hc = 8.944427191

Median: ma = 8.06222577483
Median: mb = 14.14221356237
Median: mc = 11.18803398875

Inradius: r = 3.11880821392
Circumradius: R = 8.06222577483

Vertex coordinates: A[-5; -4] B[7; -10] C[-1; 4]
Centroid: CG[0.33333333333; -3.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[4.67771232088; 3.11880821392]

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