ElisianaP235445 ElisianaP235445
  • 25-10-2022
  • Mathematics
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how do I find the correct answer? ( the top says "Triangles ABC and DEF are right triangles, as shown, ABC is similar DEF.)

how do I find the correct answer the top says Triangles ABC and DEF are right triangles as shown ABC is similar DEF class=

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TravionT727603 TravionT727603
  • 25-10-2022

The cosine relation is defined by the length of the adjacent side over the length of the hypotenuse.

So, for triangle ABC, the cosine of B is defined as:

[tex]\cos (B)=\frac{BC}{AB}[/tex]

And for triangle DEF, since the triangles are similar, the cosine of B is equal the cosine of its corresponding angle E:

[tex]\cos (E)=\frac{EF}{DE}[/tex]

So the correct options are the first and fifth ones.

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