Triangle calculator VC

Please enter the coordinates of the three vertices

Right isosceles triangle.

Sides: a = 705.6932567624   b = 705.6932567624   c = 998

Area: T = 249001
Perimeter: p = 2409.385513525
Semiperimeter: s = 1204.693256762

Angle ∠ A = α = 45° = 0.78553981634 rad
Angle ∠ B = β = 45° = 0.78553981634 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 705.6932567624
Height: hb = 705.6932567624
Height: hc = 499

Median: ma = 788.9888276212
Median: mb = 788.9888276212
Median: mc = 499

Inradius: r = 206.6932567624
Circumradius: R = 499

Vertex coordinates: A[5000; 499] B[5000; -499] C[4501; 0]
Centroid: CG[4833.667666667; 0]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[206.6932567624; 206.6932567624]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135° = 0.78553981634 rad
∠ B' = β' = 135° = 0.78553981634 rad
∠ C' = γ' = 90° = 1.57107963268 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     