elizrdgz
elizrdgz elizrdgz
  • 14-01-2019
  • Mathematics
contestada

Use the diagram and the given information to find the unknown length.

Use the diagram and the given information to find the unknown length class=

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boffeemadrid
boffeemadrid boffeemadrid
  • 24-01-2019

Answer:

[tex]BC=10[/tex]

Step-by-step explanation:

Given: [tex]\frac{AB}{BC}=\frac{AE}{ED}[/tex], AB=12, AE=18 and AD=33

Now,AD=AE+ED

⇒[tex]33=18+ED[/tex]

[tex]ED=15[/tex]

Now, [tex]\frac{AB}{BC}=\frac{AE}{ED}[/tex]

[tex]\frac{12}{BC}=\frac{18}{15}[/tex]

[tex]12{\times}15=18BC[/tex]

[tex]180=18BC[/tex]

[tex]BC=\frac{180}{18}[/tex]

[tex]BC=10[/tex]

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