Respuesta :

Answer and Explanation:

Since this is a 30-60-90 triangle, you can use the ratio of side lengths specific to this type of triangle:

x = 4√(2)

y = 2(4) = 8

because where 4 = T,

x = T√2    and     y = 2T

so again:

[tex]x = 4\sqrt{2}\\y = 8[/tex]

Answer:

  • B. 8.

Step-by-step explanation:

All answers verified:

  • A. 5. Incorrect. 5 is not long enough for y.
  • B. 8. Correct. Just the right size for y.
  • C. 4. Incorrect. 4 is already in there, so this is incorrect.
  • D. 2. Incorrect. Not even close to fit y.

Your answer is B.