Triangle calculator VC

Please enter the coordinates of the three vertices

Acute isosceles triangle.

Sides: a = 8.06222577483   b = 8.06222577483   c = 7.21111025509

Area: T = 26
Perimeter: p = 23.33656180475
Semiperimeter: s = 11.66878090238

Angle ∠ A = α = 63.43549488229° = 63°26'6″ = 1.10771487178 rad
Angle ∠ B = β = 63.43549488229° = 63°26'6″ = 1.10771487178 rad
Angle ∠ C = γ = 53.13301023542° = 53°7'48″ = 0.9277295218 rad

Height: ha = 6.45498061986
Height: hb = 6.45498061986
Height: hc = 7.21111025509

Median: ma = 6.5
Median: mb = 6.5
Median: mc = 7.21111025509

Inradius: r = 2.22883532364
Circumradius: R = 4.50769390943

Vertex coordinates: A[-9; 6] B[-3; 10] C[-2; 2]
Centroid: CG[-4.66766666667; 6]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.11441766182; 2.22883532364]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 116.5655051177° = 116°33'54″ = 1.10771487178 rad
∠ B' = β' = 116.5655051177° = 116°33'54″ = 1.10771487178 rad
∠ C' = γ' = 126.8769897646° = 126°52'12″ = 0.9277295218 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     