Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 9.22195444573   b = 3.60655512755   c = 5.83109518948

Area: T = 4.5
Perimeter: p = 18.65660476276
Semiperimeter: s = 9.32880238138

Angle ∠ A = α = 154.6543824058° = 154°39'14″ = 2.69992184306 rad
Angle ∠ B = β = 9.63875381129° = 9°38'15″ = 0.16882067719 rad
Angle ∠ C = γ = 15.7098637829° = 15°42'31″ = 0.27441674511 rad

Height: ha = 0.97661870602
Height: hb = 2.4966150883
Height: hc = 1.54334872663

Median: ma = 1.5
Median: mb = 7.5
Median: mc = 6.36439610307

Inradius: r = 0.48224172933
Circumradius: R = 10.76883234593

Vertex coordinates: A[0; 0] B[-3; 5] C[3; -2]
Centroid: CG[0; 1]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[2.84109018383; 0.48224172933]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 25.34661759419° = 25°20'46″ = 2.69992184306 rad
∠ B' = β' = 170.3622461887° = 170°21'45″ = 0.16882067719 rad
∠ C' = γ' = 164.2911362171° = 164°17'29″ = 0.27441674511 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     