K.Binks
  • K.Binks
How do you do this? Triangle ABE is similar to triangle ACD. Find y.
Mathematics
schrodinger
  • schrodinger
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Michele_Laino
  • Michele_Laino
where is your drawing, please?
K.Binks
  • K.Binks
Michele_Laino
  • Michele_Laino
since your triangle are similar, we can write this proportion: \[AE:AD = AB:AC\]

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Michele_Laino
  • Michele_Laino
now, using your drawing, we have: \[\begin{gathered} AE = y \hfill \\ AD = AE + ED = y + 7 \hfill \\ AB = 4 \hfill \\ AC = 6 \hfill \\ \end{gathered} \]
Michele_Laino
  • Michele_Laino
so, we can rewrite my proportion above, like below: \[y:\left( {y + 7} \right) = 4:6\] please apply the fundamental property of proportion, and solve for y
Michele_Laino
  • Michele_Laino
hint: if we apply the fundamental property of proportions, we get: \[4\left( {y + 7} \right) = 6y\] what is y?
K.Binks
  • K.Binks
4y + 28= 6y -> 28= 2y y= 14?
Michele_Laino
  • Michele_Laino
that's right!
K.Binks
  • K.Binks
Thank You!
Michele_Laino
  • Michele_Laino
:)

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