alliandraw14 alliandraw14
  • 08-12-2020
  • Mathematics
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ABCDEF - QRSTUV. Find the length of ST.

ABCDEF QRSTUV Find the length of ST class=

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eudora eudora
  • 12-12-2020

Answer:

Option (1)

Step-by-step explanation:

It's given in the question, ABCDEF ~ QRSTUV,

Their corresponding sides will be proportional.

[tex]\frac{AB}{QR}= \frac{BC}{RS}= \frac{CD}{ST}= \frac{DE}{TU}= \frac{EF}{UV}[/tex]

Now we choose [tex]\frac{DE}{TU}=\frac{CD}{ST}[/tex]

From the figure attached,

[tex]\frac{6}{2.4}=\frac{5.4}{ST}[/tex]

ST = [tex]\frac{5.4\times 2.4}{6}[/tex]

ST = 2.16

Therefore, Option (1) is the correct option.

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