Question

????? ????? ????? ????? ???? ??

Answer 1

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.

• 
  `(8√(x) )^(2) = z^(2) + z^(2)`
• ⇒
  `(8√(x) )( 8√(x) ) = 2z^(2)`
• ⇒
  `(8)(8)(2)= 2z^(2)`
• ⇒
  `(8)(8)= z^(2)`
• ⇒
  `64= z^(2)`
• ⇒
  `√(64) = \sqrt{z^(2)}`
• ⇒
  `8 = z`

Thus, the value of z is 8.