Mskathie32
Mskathie32 Mskathie32
  • 30-04-2019
  • Mathematics
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triangles ABC and DEF are similar which proportion could be used to determine the length of side DE

triangles ABC and DEF are similar which proportion could be used to determine the length of side DE class=

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frika
frika frika
  • 30-04-2019

Answer:

D

Step-by-step explanation:

Similar triangles have proportional corresponding sides. If triangles ABC and DEF are similar, then

[tex]\dfrac{FE}{CB}=\dfrac{DE}{AB}=\dfrac{FD}{CA}.[/tex]

From the diagram,

[tex]FE=60,\\ \\BC=5,\\ \\AB=12,[/tex]

then

[tex]\dfrac{60}{5}=\dfrac{DE}{12}.[/tex]

This is exactly option D.

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