corleychop corleychop
  • 19-07-2021
  • Mathematics
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Find the length of the missing side

Find the length of the missing side class=

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sqdancefan
sqdancefan sqdancefan
  • 22-07-2021

9514 1404 393

Answer:

  • short leg: x; long leg: 12; hypotenuse: y

Step-by-step explanation:

The sides of the triangle can be read from the figure:

  • short leg: x
  • long leg: 12
  • hypotenuse: y

The ratios tell you ...

  long leg = x√3 = 12

  x = 12/√3 = 4√3 . . . . . divide by √3. (same as multiply by (√3)/3)

  2x = 2·4√3 = 8√3

Then the missing sides are ...

  • short leg: 4√3
  • long leg: 12
  • hypotenuse: 8√3
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