Respuesta :

Solution:

We know that:

  • The base angles are equivalent.

This means that:

  • This triangle is an isosceles triangle.
  • The legs of the triangle are equivalent.

Let's use Pythagoras theorem to find z.

Finding z using Pythagoras theorem.

  • [tex](8\sqrt{x} )^{2} = z^{2} + z^{2}[/tex]
  • ⇒ [tex](8\sqrt{x} )( 8\sqrt{x} ) = 2z^{2}[/tex]
  • ⇒ [tex](8)(8)(2)= 2z^{2}[/tex]
  • ⇒ [tex](8)(8)= z^{2}[/tex]
  • ⇒ [tex]64= z^{2}[/tex]
  • ⇒ [tex]\sqrt{64} = \sqrt{z^{2}}[/tex]
  • ⇒ [tex]8 = z[/tex]

Thus, the value of z is 8.

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