Triangle calculator VC

Please enter the coordinates of the three vertices

Acute isosceles triangle.

Sides: a = 5.65768542495   b = 5.09990195136   c = 5.09990195136

Area: T = 12
Perimeter: p = 15.85548932767
Semiperimeter: s = 7.92774466383

Angle ∠ A = α = 67.3880135052° = 67°22'49″ = 1.17660052071 rad
Angle ∠ B = β = 56.3109932474° = 56°18'36″ = 0.98327937232 rad
Angle ∠ C = γ = 56.3109932474° = 56°18'36″ = 0.98327937232 rad

Height: ha = 4.24326406871
Height: hb = 4.70767872433
Height: hc = 4.70767872433

Median: ma = 4.24326406871
Median: mb = 4.74334164903
Median: mc = 4.74334164903

Inradius: r = 1.51437282592
Circumradius: R = 3.06441293851

Vertex coordinates: A[-3; 2] B[2; 1] C[-2; -3]
Centroid: CG[-1; 0]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.00991521728; 1.51437282592]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.6219864948° = 112°37'11″ = 1.17660052071 rad
∠ B' = β' = 123.6990067526° = 123°41'24″ = 0.98327937232 rad
∠ C' = γ' = 123.6990067526° = 123°41'24″ = 0.98327937232 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     