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This is a 30-60-90 triangle. What is the measure of x? rationalize the denominator.

This is a 30-60-90 triangle. What is the measure of x? rationalize the denominator-example-1

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Answer:


x=\frac{[2] \sqrt {[21] }}{[3] }

Explanation:

Since, given is a 30°-60°-90° triangle.


\therefore \sqrt 7 = (\sqrt3)/(2) * x


\therefore 2\sqrt 7 = \sqrt3 * x


\therefore x=(2\sqrt 7)/(\sqrt 3)


\therefore x=(2\sqrt 7(\sqrt 3))/(\sqrt 3(\sqrt 3))


\huge \therefore x=\frac{[2] \sqrt {[21] }}{[3] }

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