Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 2.23660679775   b = 6.32545553203   c = 8.06222577483

Area: T = 5
Perimeter: p = 16.62328810461
Semiperimeter: s = 8.31114405231

Angle ∠ A = α = 11.3109932474° = 11°18'36″ = 0.19773955598 rad
Angle ∠ B = β = 33.6990067526° = 33°41'24″ = 0.58880026035 rad
Angle ∠ C = γ = 135° = 2.35661944902 rad

Height: ha = 4.4722135955
Height: hb = 1.58111388301
Height: hc = 1.24403473459

Median: ma = 7.15989105316
Median: mb = 5
Median: mc = 2.5

Inradius: r = 0.60215804344
Circumradius: R = 5.70108771255

Vertex coordinates: A[-5; 2] B[2; 6] C[1; 4]
Centroid: CG[-0.66766666667; 4]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.90223706515; 0.60215804344]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.6990067526° = 168°41'24″ = 0.19773955598 rad
∠ B' = β' = 146.3109932474° = 146°18'36″ = 0.58880026035 rad
∠ C' = γ' = 45° = 2.35661944902 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     