Respuesta :

sqdancefan

Answer:

  • x = √15
  • y = √5

Step-by-step explanation:

The side ratios of a 30°-60°-90° right triangle are ...

  1 : √3 : 2 . . . . . . shortest to longest

In your triangle, they are ...

  y : x : 2√5

Then y = (2√5)/2 = √5, half the longest side.

And x = y√3 = (√5)(√3) = √(5·3) = √15, sqrt(3) times the shortest side.

In summary, x = √15 and y = √5.