Question

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Answer 1

Answer:

$\frac{4}{3}$$\sqrt{3}$

Step-by-step explanation:

the ratio of sides of a 30-60-90° triangle, respectively, are 1 : $\sqrt{3}$ : 2

we can solve for 'x' using this proportion:

x/4 = 1/$\sqrt{3}$

now cross-multiply:

$\sqrt{3}$x = 4

x = 4/$\sqrt{3}$

we don't want to leave a radical in the denominator so we can multiply numerator and denominator by $\sqrt{3}$ to get:

4$\sqrt{3}$ / 3 or $\frac{4}{3}$$\sqrt{3}$