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Find the missing side lengths. Leave your answers as radicals in the simplest form.

Find The Missing Side Lengths Leave Your Answers As Radicals In The Simplest Form class=

Sagot :

Answer:

  • x = 28, y = 14

Step-by-step explanation:

Use the property of 30°-60°-90° right triangle.

The ratio of sides:

  • a : b : c = 1 : √3 : 2

Compare with the given:

  • y : 14√3 : x  = 1 : √3 : 2
  • y = 14√3 / √3 = 14
  • x = 2*14 = 28

Apply the property of 30-90-60 angle

  • a:b:c=1:√3:2

So

  • y=14√3/√3=14
  • x=2(y)=2(14)=28