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this is a 30 - 60 - 90 triangle. what is the measure of x? 18 x x =?√

Question

this is a 30 - 60 - 90 triangle.
what is the measure of x?
18
x
x =?√

Explanation:

Step1: Identify side ratios

In a 30-60-90 triangle, the side opposite 60° (x) is $\frac{\sqrt{3}}{2}$ times hypotenuse.
Hypotenuse = 18, so $x = 18 \times \frac{\sqrt{3}}{2}$

Step2: Simplify the expression

$x = 9\sqrt{3}$

Answer:

$9\sqrt{3}$