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Geometry question please help:)

Geometry question please help:)-example-1

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Answer:

  • EF = 40√6

----------------------

DC is the radius and its length is:

  • DC = 20 + 50
  • DC = 70

DC is the perpendicular bisector of EF. Hence the half of the segment EF is the leg of a right triangle with the hypotenuse of EC = DC = 70 and other leg of 50 units.

Using the Pythagorean theorem, find the length of EF:

  • (EF/2)² = 70² - 50²
  • (EF/2)² = 2400
  • EF/2 = √2400
  • EF/2 = 20√6
  • EF = 40√6
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User Luke Sweeney
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