Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 9.22195444573   b = 4.12331056256   c = 5.09990195136

Area: T = 0.5
Perimeter: p = 18.44216695965
Semiperimeter: s = 9.22108347983

Angle ∠ A = α = 177.2743689006° = 177°16'25″ = 3.09440095503 rad
Angle ∠ B = β = 1.21988752351° = 1°13'8″ = 0.0211273386 rad
Angle ∠ C = γ = 1.50774357588° = 1°30'27″ = 0.02663097173 rad

Height: ha = 0.10884652289
Height: hb = 0.2432535625
Height: hc = 0.19661161351

Median: ma = 0.5
Median: mb = 7.15989105316
Median: mc = 6.67108320321

Inradius: r = 0.05442250253
Circumradius: R = 96.91549111334

Vertex coordinates: A[5; -1] B[6; -6] C[4; 3]
Centroid: CG[5; -1.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[2.5498576188; 0.05442250253]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 2.72663109939° = 2°43'35″ = 3.09440095503 rad
∠ B' = β' = 178.7811124765° = 178°46'52″ = 0.0211273386 rad
∠ C' = γ' = 178.4932564241° = 178°29'33″ = 0.02663097173 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     