Triangle calculator VC

Please enter the coordinates of the three vertices

Acute isosceles triangle.

Sides: a = 57.91992201087   b = 22.186   c = 57.91992201087

Area: T = 630.6043771
Perimeter: p = 138.0244440217
Semiperimeter: s = 69.01222201087

Angle ∠ A = α = 78.95881836183° = 78°57'29″ = 1.37880802755 rad
Angle ∠ B = β = 22.08436327634° = 22°5'1″ = 0.38554321025 rad
Angle ∠ C = γ = 78.95881836183° = 78°57'29″ = 1.37880802755 rad

Height: ha = 21.77552852962
Height: hb = 56.847
Height: hc = 21.77552852962

Median: ma = 32.93658211147
Median: mb = 56.847
Median: mc = 32.93658211147

Vertex coordinates: A[-11.093; 56.847] B[0; 0] C[11.093; 56.847]
Centroid: CG[0; 37.898]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[22.52215675941; 9.13875667962]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 101.0421816382° = 101°2'31″ = 1.37880802755 rad
∠ B' = β' = 157.9166367237° = 157°54'59″ = 0.38554321025 rad
∠ C' = γ' = 101.0421816382° = 101°2'31″ = 1.37880802755 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    