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what is the value of y? □ \\(\\frac{3}{\\sqrt{2}}\\) □ \\(3\\sqrt{2}\\)…

Question

what is the value of y?
□ \\(\frac{3}{\sqrt{2}}\\)
□ \\(3\sqrt{2}\\)
□ 3
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Explanation:

Assuming this is a 45-45-90 triangle problem (where legs are equal and hypotenuse is leg × √2). If one leg is 3, the hypotenuse (or another side in context) would be 3√2. Let's check:

Step1: Recall 45-45-90 triangle ratios

In a 45-45-90 triangle, sides are in ratio \( 1:1:\sqrt{2} \) (leg:leg:hypotenuse).

Step2: Apply ratio to given leg (3)

If a leg is 3, hypotenuse \( = 3\times\sqrt{2}=3\sqrt{2} \). So y should be \( 3\sqrt{2} \).

Answer:

B. \( 3\sqrt{2} \) (assuming the options are labeled A, B, C as first: \( \frac{3}{\sqrt{2}} \), second: \( 3\sqrt{2} \), third: 3)