Respuesta :

9514 1404 393

Answer:

  • x = 4√15
  • y = 4√5

Step-by-step explanation:

The ratios of side lengths in the given triangle are ...

  1 : √3 : 2 = shortest : middle length : longest

We can make the longest side match the given value if we multiply these numbers by 4√5

  y : x : 8√5 = 1(4√5) : √3(4√5) : 2(4√5) = 4√5 : 4√15 : 8√5

Then we have ...

  x = 4√15

  y = 4√5