Question

Please help with this question.

Answer 1

9514 1404 393

Answer:

  A:

• x = (20√3)/3
• y = (40√3)/3

Step-by-step explanation:

Side length ratios in a 30°-60°-90° "special" triangle are (shortest to longest):

  1 : √3 : 2

Comparing to the given side lengths, we have ...

  1 : √3 : 2 = x : 20 : y

Making these ratios the same gives ...

  x = 20/√3 = (20√3)/3

  y = 2x = (40√3)/3

These values match choice A.