Question

question #2 find the value of x & y.

Explanation:

Step1: Identify the triangle type

This is a 45 - 45 - 90 right - triangle. In a 45 - 45 - 90 triangle, the legs are congruent and the hypotenuse $c$ is related to the leg $a$ by the formula $c = a\sqrt{2}$.

Step2: Find the value of $y$

Since the two legs of a 45 - 45 - 90 triangle are equal, and one leg is $4\sqrt{2}$, then $y=4\sqrt{2}$.

Step3: Find the value of $x$

Using the formula $c = a\sqrt{2}$, where $a = 4\sqrt{2}$, then $x=(4\sqrt{2})\times\sqrt{2}=4\times2 = 8$.

Answer:

$x = 8$, $y = 4\sqrt{2}$