Question

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

Answer 1

`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] }`