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HJackson0923
HJackson0923 HJackson0923
  • 20-08-2016
  • Mathematics
Answered

In the figure, ΔABC ~ ΔDEF. Solve for x.

In the figure, ΔABC ΔDEF. Solve for x. class=

Verified Answer :

boffeemadrid
boffeemadrid boffeemadrid
  • 07-03-2019

Answer:

\(x=5\)

Step-by-step explanation:

It is given that ΔABC is similar to ΔDEF, thus using the similarity postulate, we have

\(\frac{CB}{EF}=\frac{AB}{ED}\)

⇒\(\frac{24}{6}=\frac{20}{x}\)

On Cross multiplying, we get

⇒\(x=\frac{20{\times}6}{24}\)

⇒\(x=\frac{20}{4}\)

⇒\(x=5\)

Thus, the value of x will be 5.

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