Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 5.83109518948   b = 11.18803398875   c = 7.81102496759

Area: T = 21.5
Perimeter: p = 24.82215414583
Semiperimeter: s = 12.41107707291

Angle ∠ A = α = 29.50107246235° = 29°30'3″ = 0.51548847764 rad
Angle ∠ B = β = 109.2310672376° = 109°13'50″ = 1.90664348771 rad
Angle ∠ C = γ = 41.26986030008° = 41°16'7″ = 0.72202730001 rad

Height: ha = 7.37444391611
Height: hb = 3.84660369213
Height: hc = 5.50655858371

Median: ma = 9.19223881554
Median: mb = 4.03111288741
Median: mc = 8.01656097709

Inradius: r = 1.7322366222
Circumradius: R = 5.92105347061

Vertex coordinates: A[-5; 4] B[1; -1] C[6; 2]
Centroid: CG[0.66766666667; 1.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0.60443137984; 1.7322366222]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.4999275377° = 150°29'57″ = 0.51548847764 rad
∠ B' = β' = 70.76993276243° = 70°46'10″ = 1.90664348771 rad
∠ C' = γ' = 138.7311396999° = 138°43'53″ = 0.72202730001 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     