Triangle calculator VC

Please enter the coordinates of the three vertices

Right isosceles triangle.

Sides: a = 30.01766620396   b = 30.01766620396   c = 42.45499705536

Area: T = 450.5
Perimeter: p = 102.4833294633
Semiperimeter: s = 51.24216473164

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

Height: ha = 30.01766620396
Height: hb = 30.01766620396
Height: hc = 21.22549852768

Median: ma = 33.56596483891
Median: mb = 33.56596483891
Median: mc = 21.22549852768

Inradius: r = 8.79216767628
Circumradius: R = 21.22549852768

Vertex coordinates: A[-11; 26] B[0; -15] C[15; 11]
Centroid: CG[1.33333333333; 7.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[8.79216767628; 8.79216767628]

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     