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What is the measure of n?
6
m
18
n
n =
V[?]

What Is The Measure Of N 6 M 18 N N V class=

Sagot :

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9514 1404 393

Answer:

  n = √108

Step-by-step explanation:

The triangles in the figure are all similar, so corresponding sides have the same ratio.

  long side/short side = n/6 = 18/n

  n² = 6·18 = 108

  n = √108

_____

Additional comment

The same is true for other side relationships.

  hypotenuse/short side = m/6 = (6+18)/m

  m² = 6(24) = 144

  m = √144 = 12

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