devyne10778 devyne10778
  • 15-04-2021
  • Mathematics
contestada

in triangle ABC shown, DE || AC. What is the length of AC?

in triangle ABC shown DE AC What is the length of AC class=

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jimrgrant1 jimrgrant1
  • 15-04-2021

Answer:

AC = 20

Step-by-step explanation:

Δ BDE and Δ BAC are similar, so the ratios of corresponding sides are equal, that is

[tex]\frac{AC}{DE}[/tex] = [tex]\frac{BA}{BD}[/tex] , substitute values

[tex]\frac{AC}{8}[/tex] = [tex]\frac{10}{4}[/tex] ( cross- multiply )

4AC = 80 ( divide both sides by 4 )

AC = 20

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pleasehelp12111 pleasehelp12111
  • 16-04-2021
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