Question

what is y and z? i understand what to do but i am unsure what the correct answer is and i maybe typing it in wrong.

Answer 1

`\begin{gathered} y\text{ = 18} \\ z\text{ = 18} \end{gathered}`

Step-by-step explanation:

Here, we want to get the value of y and z

Since one of the internal angles is 45 degrees, then we have it that the right triangle is an isosceles right triangle

In that case, x = z

From Pythagoras' theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, mathematically:

`\begin{gathered} (18\sqrt{2\text{ }}\text{ \rparen}^2\text{ = y}^2\text{ + y}^2 \\ 2y^2\text{ = 648} \\ y^2\text{ = 324} \\ y\text{ = }√(324) \\ y\text{ = 18} \end{gathered}`