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Use special right triangle ratios to find the length of the hypotenuseA. 15 square root 3B. 30C. 15D. 15square root 2

Use special right triangle ratios to find the length of the hypotenuseA. 15 square-example-1
User Mvorisek
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1 Answer

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5 votes

Step-by-step explanation

To find the length of the hypotenuse using the right triangle ratio

Since the angles are in the ratio


45^0,45^0,90^0

So the side ratio will be in the ratio


1\colon1\colon\sqrt[]{2}

Thus,

If x = 15 and the hypotenuse is y

Then


\begin{gathered} 45^0\colon45\colon90^0 \\ 15\colon x\colon y \\ 1\colon1\colon\sqrt[]{2} \end{gathered}

Thus, from the above relationship


\begin{gathered} x=15 \\ y=15*\sqrt[]{2}=15\sqrt[]{2} \end{gathered}

Therefore, the hypotenuse is


15\sqrt[]{2}

Use special right triangle ratios to find the length of the hypotenuseA. 15 square-example-1
User Jshah
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