Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 8.06222577483   b = 14.86660687473   c = 9.48768329805

Area: T = 34.5
Perimeter: p = 32.41551594761
Semiperimeter: s = 16.20875797381

Angle ∠ A = α = 29.2911362171° = 29°17'29″ = 0.51112307123 rad
Angle ∠ B = β = 115.5659965172° = 115°33'36″ = 2.01769018757 rad
Angle ∠ C = γ = 35.14986726572° = 35°8'55″ = 0.61334600656 rad

Height: ha = 8.55883966867
Height: hb = 4.64114422786
Height: hc = 7.27332386184

Median: ma = 11.88004237212
Median: mb = 4.7176990566
Median: mc = 10.97772492001

Inradius: r = 2.12986336737
Circumradius: R = 8.23993885471

Vertex coordinates: A[8; -6] B[-1; -3] C[-2; 5]
Centroid: CG[1.66766666667; -1.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-1.01880421918; 2.12986336737]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.7098637829° = 150°42'31″ = 0.51112307123 rad
∠ B' = β' = 64.44400348282° = 64°26'24″ = 2.01769018757 rad
∠ C' = γ' = 144.8511327343° = 144°51'5″ = 0.61334600656 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     