Triangle calculator VC

Please enter the coordinates of the three vertices

Acute isosceles triangle.

Sides: a = 2.77704592904   b = 2.77704592904   c = 3.46441016151

Area: T = 3.74551747675
Perimeter: p = 9.00550201959
Semiperimeter: s = 4.5032510098

Angle ∠ A = α = 51.30442005258° = 51°18'15″ = 0.89554272193 rad
Angle ∠ B = β = 51.30442005258° = 51°18'15″ = 0.89554272193 rad
Angle ∠ C = γ = 77.39215989484° = 77°23'30″ = 1.3510738215 rad

Height: ha = 2.70436490162
Height: hb = 2.70436490162
Height: hc = 2.16222776602

Median: ma = 2.81440471158
Median: mb = 2.81440471158
Median: mc = 2.16222776602

Inradius: r = 0.83217970834
Circumradius: R = 1.77548517734

Vertex coordinates: A[1.73205080757; 1] B[-1.73205080757; 1] C[0; 3.16227766017]
Centroid: CG[0; 1.72107592201]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.66662950076; 0.83217970834]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.6965799474° = 128°41'45″ = 0.89554272193 rad
∠ B' = β' = 128.6965799474° = 128°41'45″ = 0.89554272193 rad
∠ C' = γ' = 102.6088401052° = 102°36'30″ = 1.3510738215 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     