Answer: 8√3
Step-by-step explanation:
ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b. So,
VW = b
XW = b√3
XV = 2b
Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,
24 = b√3
[tex]\frac{24}{\sqrt{3}} = \frac{b\sqrt{3}}{\sqrt{3}}[/tex]
[tex]\frac{24}{\sqrt{3}} [/tex] = b
[tex]\frac{24}{\sqrt{3}}(\frac{\sqrt{3}}{\sqrt{3}})[/tex] = b
[tex]\frac{24\sqrt{3}}{3} [/tex] = b
8√3 = b
We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3
