Triangle calculator VC

Please enter the coordinates of the three vertices

Acute isosceles triangle.

Sides: a = 7.07110678119   b = 7.07110678119   c = 4.4722135955

Area: T = 15
Perimeter: p = 18.61442715787
Semiperimeter: s = 9.30771357894

Angle ∠ A = α = 71.56550511771° = 71°33'54″ = 1.24990457724 rad
Angle ∠ B = β = 71.56550511771° = 71°33'54″ = 1.24990457724 rad
Angle ∠ C = γ = 36.87698976458° = 36°52'12″ = 0.64435011088 rad

Height: ha = 4.24326406871
Height: hb = 4.24326406871
Height: hc = 6.70882039325

Median: ma = 4.74334164903
Median: mb = 4.74334164903
Median: mc = 6.70882039325

Vertex coordinates: A[-3; 1] B[1; 3] C[2; -4]
Centroid: CG[0; 0]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.53772222038; 1.61216666115]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 108.4354948823° = 108°26'6″ = 1.24990457724 rad
∠ B' = β' = 108.4354948823° = 108°26'6″ = 1.24990457724 rad
∠ C' = γ' = 143.1330102354° = 143°7'48″ = 0.64435011088 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    