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Answer :

Answer:

x = 9

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{9\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x × [tex]\sqrt{2}[/tex] = 9[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

x = 9

ShubhamchouhanvrVTgo

For a given triangle the value of x will be equal to 9.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Using the sine ratio in the right triangle and the exact value

sin45° = x / 9√2  , then

x  = 9√2 x sin45°

x = 9

Therefore for a given triangle, the value of x will be equal to 9.

To know more about Trigonometry follow

https://brainly.com/question/24349828

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