Respuesta :

Hrishii

Answer:

x = 6

Step-by-step explanation:

  • In [tex] \triangle ABC, \:\angle A[/tex] is right angle. (Given)

  • [tex]AD\perp BC[/tex] (Given)

  • [tex] \implies AD^2 = BD\times DC[/tex] (By geometric mean theorem)

  • [tex] \implies x^2 = 4\times 9[/tex]

  • [tex] \implies x^2 = 36[/tex]

  • [tex] \implies x =\pm\sqrt{ 36}[/tex]

  • [tex] \implies x =\pm 6[/tex]

  • Value of x cannot be negative.

  • -> x = 6