Answer:
14
Step-by-step explanation:
this is a 30-60-90° Δ and the sides, respectively, have the ratio of 1 : [tex]\sqrt{3}[/tex] : 2
we can set up a proportion and cross-multiply based on that ratio:
w / 7[tex]\sqrt{3}[/tex] = 2 / [tex]\sqrt{3}[/tex]
[tex]\sqrt{3}[/tex]w = 14[tex]\sqrt{3}[/tex]
w = 14
