Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 10.05498756211   b = 7.21111025509   c = 14.86660687473

Area: T = 32
Perimeter: p = 32.12770469194
Semiperimeter: s = 16.06435234597

Angle ∠ A = α = 36.6566108416° = 36°39'22″ = 0.64397697828 rad
Angle ∠ B = β = 25.36444171956° = 25°21'52″ = 0.44326925929 rad
Angle ∠ C = γ = 117.9799474388° = 117°58'46″ = 2.05991302779 rad

Height: ha = 6.36882380173
Height: hb = 8.87552031396
Height: hc = 4.30551058816

Median: ma = 10.54875115549
Median: mb = 12.16655250606
Median: mc = 4.61097722286

Inradius: r = 1.99220909681
Circumradius: R = 8.41768294255

Vertex coordinates: A[-3; 6] B[2; -8] C[3; 2]
Centroid: CG[0.66766666667; 0]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[4.20220668858; 1.99220909681]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.3443891584° = 143°20'38″ = 0.64397697828 rad
∠ B' = β' = 154.6365582804° = 154°38'8″ = 0.44326925929 rad
∠ C' = γ' = 62.02105256115° = 62°1'14″ = 2.05991302779 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     