everyonelovescarmen everyonelovescarmen
  • 03-07-2018
  • Mathematics
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Applying the Geometric Mean (Altitude)Theorem. What is the value of k? ** i know the answer, but i want to know how to get it please :)

Applying the Geometric Mean AltitudeTheorem What is the value of k i know the answer but i want to know how to get it please class=

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carlosego
carlosego carlosego
  • 12-07-2018

To solve this problem you must apply the proccedure shown below:

1. By applying the Geometric Mean (Altitude)Theorem, you have:

[tex] \frac{NO}{OM} =\frac{LO}{NO} \\ NO=4\\ OM=k\\ LO=8 [/tex]

2. When you substitute values,and you solve for [tex] k [/tex], you obtain:

[tex] \frac{4}{k} =\frac{8}{4}\\ 8k=16\\ k=2 [/tex]

The answer is: [tex] k=2 [/tex]

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