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Find value of each variable! Express in simplest radical form!

Find value of each variable! Express in simplest radical form!-example-1

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Explanation:

3. The triangle that makes up the square is a 45-90-45 triangle so x = 45°. Using Pythagorean theorem,

2y^2 = 12 ---> y^2 = 6

or

y = √6

4.This is an equilateral triangle of side 11 so

y = 11/2

To find x, use the definition of sine 60:

sin 60° = opp/hyp

= x/11

or

x = 11sin60° = (11√3)/2

User Josh Unger
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