Question

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

Explanation:

Step1: Identify the triangle type

It's a 45 - 45 - 90 right - triangle. In a 45 - 45 - 90 triangle, the legs are equal.
Since one leg is \(3\sqrt{2}\), then \(y = 3\sqrt{2}\).

Step2: Use the Pythagorean theorem or ratio

In a 45 - 45 - 90 triangle, the hypotenuse \(x\) and the leg \(a\) are related by \(x=a\sqrt{2}\). Here \(a = 3\sqrt{2}\), so \(x=(3\sqrt{2})\times\sqrt{2}=3\times2 = 6\).

Answer:

\(y = 3\sqrt{2}\)
\(x = 6\)