Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

$\therefore \sqrt 7 = \frac{\sqrt3}{2} \times x$

$\therefore 2\sqrt 7 = \sqrt3 \times x$

$\therefore x=\frac{2\sqrt 7}{\sqrt 3}$

$\therefore x=\frac{2\sqrt 7(\sqrt 3)}{\sqrt 3(\sqrt 3)}$

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