Question

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

Answer 1

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.

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

Thus, the value of z is 8.