Respuesta :

Answer:

x = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Given a tangent and a secant from an external point to a circle.

Then the square of the tangent is equal to the product of the secant's external part and the entire secant , that is

x² = 4(4 + 8) = 4 × 12 = 48 ( take square root of both sides )

x = [tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = 4[tex]\sqrt{3}[/tex]