andreaisabelbackup
andreaisabelbackup andreaisabelbackup
  • 22-02-2020
  • Mathematics
contestada

PLEASE HELP ASAP !!
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Which segment's length is the geometric mean of ML & MJ?

PLEASE HELP ASAP Which segments length is the geometric mean of ML amp MJ class=

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sqdancefan
sqdancefan sqdancefan
  • 22-02-2020

Answer:

  MK

Step-by-step explanation:

ML is the short side of right triangle MLK. MJ is the hypotenuse of right triangle MKJ. This gives you a clue that the ratios of interest are the short side to the hypotenuse. All these right triangles are similar, so ...

  ML/MK = MK/MJ . . . . . ratio of short side to hypotenuse is the same

  ML·MJ = MK² . . . . . . . cross multiply

  MK = √(ML·MJ) . . . . . the geometric mean of ML and MJ is MK

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