Question

question solve for y and x answer attempt 1 out of 3 y = x =

Explanation:

Step1: Identify triangle type

This is a 45 - 45 - 90 right - triangle. In a 45 - 45 - 90 triangle, the ratio of the sides is $x:y:h = 1:1:\sqrt{2}$, where $x$ and $y$ are the legs and $h$ is the hypotenuse.

Step2: Set up proportion

Let the length of each leg be $a$ (so $x = y=a$), and the hypotenuse $h = 4\sqrt{2}$. Since $h=a\sqrt{2}$, we have $a\sqrt{2}=4\sqrt{2}$.

Step3: Solve for $a$ (which is $x$ and $y$)

Dividing both sides of the equation $a\sqrt{2}=4\sqrt{2}$ by $\sqrt{2}$, we get $a = 4$. So $x = 4$ and $y = 4$.

Answer:

$y = 4$
$x = 4$